252511400 has 24 divisors (see below), whose sum is σ = 587089470. Its totient is φ = 101004480.

The previous prime is 252511397. The next prime is 252511417. The reversal of 252511400 is 4115252.

It can be written as a sum of positive squares in 3 ways, for example, as 222546724 + 29964676 = 14918^2 + 5474^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631079 + ... + 631478.

Almost surely, 2^252511400 is an apocalyptic number.

252511400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252511400 is an abundant number, since it is smaller than the sum of its proper divisors (334578070).

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

252511400 is a wasteful number, since it uses less digits than its factorization.

252511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262573 (or 1262564 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 252511400 is about 15890.6072885840. The cubic root of 252511400 is about 632.0629443797.

Adding to 252511400 its reverse (4115252), we get a palindrome (256626652).

The spelling of 252511400 in words is "two hundred fifty-two million, five hundred eleven thousand, four hundred".