252400440 has 64 divisors (see below), whose sum is σ = 765741600. Its totient is φ = 66547712.

The previous prime is 252400429. The next prime is 252400441. The reversal of 252400440 is 44004252.

252400440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252400440² = 127411964224387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252400441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 22496.

Almost surely, 2^252400440 is an apocalyptic number.

252400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382870800).

252400440 is an abundant number, since it is smaller than the sum of its proper divisors (513341160).

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

252400440 is a wasteful number, since it uses less digits than its factorization.

252400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23736 (or 23732 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 252400440 is about 15887.1155342938. The cubic root of 252400440 is about 631.9703492472.

Adding to 252400440 its reverse (44004252), we get a palindrome (296404692).

The spelling of 252400440 in words is "two hundred fifty-two million, four hundred thousand, four hundred forty".