4491680400 has 135 divisors (see below), whose sum is σ = 15601345851. Its totient is φ = 1196709120.

The previous prime is 4491680387. The next prime is 4491680423. The reversal of 4491680400 is 40861944.

It is a happy number.

The square root of 4491680400 is 67020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1932129936 + 2559550464 = 43956^2 + 50592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4020642 + ... + 4021758.

Almost surely, 2^4491680400 is an apocalyptic number.

4491680400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4491680400 is the 67020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4491680400

4491680400 is an abundant number, since it is smaller than the sum of its proper divisors (11109665451).

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

4491680400 is a wasteful number, since it uses less digits than its factorization.

4491680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 4491680400 is about 1649.9455629423.

Multiplying 4491680400 by its sum of digits (36), we get a square (161700494400 = 402120²).

4491680400 divided by its sum of digits (36) gives a square (124768900 = 11170²).

It can be divided in two parts, 44916 and 80400, that added together give a square (125316 = 354²).

The spelling of 4491680400 in words is "four billion, four hundred ninety-one million, six hundred eighty thousand, four hundred".