252400040 has 32 divisors (see below), whose sum is σ = 571725000. Its totient is φ = 100280064.

The previous prime is 252400039. The next prime is 252400061. The reversal of 252400040 is 40004252.

It can be written as a sum of positive squares in 4 ways, for example, as 218271076 + 34128964 = 14774^2 + 5842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252399991 and 252400018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15215 + ... + 27134.

Almost surely, 2^252400040 is an apocalyptic number.

252400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252400040 is an abundant number, since it is smaller than the sum of its proper divisors (319324960).

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

252400040 is a wasteful number, since it uses less digits than its factorization.

252400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509 (or 42505 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 252400040 is about 15887.1029454712. The cubic root of 252400040 is about 631.9700154017.

Adding to 252400040 its reverse (40004252), we get a palindrome (292404292).

The spelling of 252400040 in words is "two hundred fifty-two million, four hundred thousand, forty".