1881824400 has 225 divisors, whose sum is σ = 6781856763. Its totient is φ = 499737600.

The previous prime is 1881824393. The next prime is 1881824407. The reversal of 1881824400 is 44281881.

It is a happy number.

The square root of 1881824400 is 43380.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1881824393) and next prime (1881824407).

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 1853819136 = 5292^2 + 43056^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1881824407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7808280 + ... + 7808520.

Almost surely, 2^1881824400 is an apocalyptic number.

1881824400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1881824400 is the 43380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1881824400

1881824400 is an abundant number, since it is smaller than the sum of its proper divisors (4900032363).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1881824400 is an equidigital number, since it uses as much as digits as its factorization.

1881824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The cubic root of 1881824400 is about 1234.6002629214.

Multiplying 1881824400 by its sum of digits (36), we get a square (67745678400 = 260280²).

1881824400 divided by its sum of digits (36) gives a square (52272900 = 7230²).

Multiplying 1881824400 by its product of nonzero digits (16384), we get a square (30831810969600 = 5552640²).

It can be divided in two parts, 1881 and 824400, that added together give a square (826281 = 909²).

The spelling of 1881824400 in words is "one billion, eight hundred eighty-one million, eight hundred twenty-four thousand, four hundred".