253874899600 has 405 divisors, whose sum is σ = 733770945531. Its totient is φ = 84164774400.

The previous prime is 253874899573. The next prime is 253874899639. The reversal of 253874899600 is 6998478352.

The square root of 253874899600 is 503860.

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 116939377296 + 136935522304 = 341964^2 + 370048^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4161883570 + ... + 4161883630.

Almost surely, 2^253874899600 is an apocalyptic number.

253874899600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253874899600 is the 503860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253874899600

253874899600 is an abundant number, since it is smaller than the sum of its proper divisors (479896045931).

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

253874899600 is an equidigital number, since it uses as much as digits as its factorization.

253874899600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 253874899600 in words is "two hundred fifty-three billion, eight hundred seventy-four million, eight hundred ninety-nine thousand, six hundred".