249290504100 has 729 divisors, whose sum is σ = 922741034761. Its totient is φ = 56240025600.

The previous prime is 249290504081. The next prime is 249290504123. The reversal of 249290504100 is 1405092942.

The square root of 249290504100 is 499290.

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

249290504100 is a `hidden beast` number, since 2 + 49 + 2 + 9 + 0 + 504 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 168147563364 + 81142940736 = 410058^2 + 284856^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2801016856 + ... + 2801016944.

Almost surely, 2^249290504100 is an apocalyptic number.

249290504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249290504100 is the 499290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249290504100

249290504100 is an abundant number, since it is smaller than the sum of its proper divisors (673450530661).

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

249290504100 is a wasteful number, since it uses less digits than its factorization.

249290504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 249290504100 by its sum of digits (36), we get a square (8974458147600 = 2995740²).

249290504100 divided by its sum of digits (36) gives a square (6924736225 = 83215²).

The spelling of 249290504100 in words is "two hundred forty-nine billion, two hundred ninety million, five hundred four thousand, one hundred".