255004800400 has 135 divisors (see below), whose sum is σ = 712871000289. Its totient is φ = 87405978240.

The previous prime is 255004800311. The next prime is 255004800461. The reversal of 255004800400 is 4008400552.

The square root of 255004800400 is 504980.

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

It can be written as a sum of positive squares in only one way, i.e., 91801728144 + 163203072256 = 302988^2 + 403984^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 70695397 + ... + 70699003.

Almost surely, 2^255004800400 is an apocalyptic number.

255004800400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255004800400 is the 504980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255004800400

255004800400 is an abundant number, since it is smaller than the sum of its proper divisors (457866199889).

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

255004800400 is an frugal number, since it uses more digits than its factorization.

255004800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 255004800400 in words is "two hundred fifty-five billion, four million, eight hundred thousand, four hundred".