1827324400 has 120 divisors (see below), whose sum is σ = 4871116800. Its totient is φ = 653126400.

The previous prime is 1827324397. The next prime is 1827324409. The reversal of 1827324400 is 44237281.

It is a super-2 number, since 2×1827324400² = 6678228925670720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827324409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256081 + ... + 263119.

It is an arithmetic number, because the mean of its divisors is an integer number (40592640).

Almost surely, 2^1827324400 is an apocalyptic number.

1827324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435558400).

1827324400 is an abundant number, since it is smaller than the sum of its proper divisors (3043792400).

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

1827324400 is a wasteful number, since it uses less digits than its factorization.

1827324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 1827324400 is about 42747.2151139697. The cubic root of 1827324400 is about 1222.5647915164.

The spelling of 1827324400 in words is "one billion, eight hundred twenty-seven million, three hundred twenty-four thousand, four hundred".