251120400 has 60 divisors (see below), whose sum is σ = 804426192. Its totient is φ = 66965120.

The previous prime is 251120393. The next prime is 251120423. The reversal of 251120400 is 4021152.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×251120400² = 126122910592320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 251120400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103434 + ... + 105833.

Almost surely, 2^251120400 is an apocalyptic number.

251120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251120400 is an abundant number, since it is smaller than the sum of its proper divisors (553305792).

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

251120400 is a wasteful number, since it uses less digits than its factorization.

251120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209288 (or 209277 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 251120400 is about 15846.7788524987. The cubic root of 251120400 is about 630.9001996232.

Adding to 251120400 its reverse (4021152), we get a palindrome (255141552).

The spelling of 251120400 in words is "two hundred fifty-one million, one hundred twenty thousand, four hundred".