252640000400 has 60 divisors (see below), whose sum is σ = 609689644032. Its totient is φ = 100602798720.

The previous prime is 252640000399. The next prime is 252640000427. The reversal of 252640000400 is 4000046252.

It is a super-2 number, since 2×252640000400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326944 + ... + 1505343.

Almost surely, 2^252640000400 is an apocalyptic number.

252640000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252640000400 is an abundant number, since it is smaller than the sum of its proper divisors (357049643632).

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

252640000400 is a wasteful number, since it uses less digits than its factorization.

252640000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832528 (or 2832517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 252640000400 its reverse (4000046252), we get a palindrome (256640046652).

The spelling of 252640000400 in words is "two hundred fifty-two billion, six hundred forty million, four hundred", and thus it is an aban number.