252656040 has 256 divisors, whose sum is σ = 988485120. Its totient is φ = 50135040.

The previous prime is 252656039. The next prime is 252656051. The reversal of 252656040 is 40656252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252655989 and 252656007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184960 + ... + 186320.

It is an arithmetic number, because the mean of its divisors is an integer number (3861270).

Almost surely, 2^252656040 is an apocalyptic number.

252656040 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 252656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494242560).

252656040 is an abundant number, since it is smaller than the sum of its proper divisors (735829080).

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

252656040 is a wasteful number, since it uses less digits than its factorization.

252656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 252656040 is about 15895.1577532279. The cubic root of 252656040 is about 632.1836044558.

The spelling of 252656040 in words is "two hundred fifty-two million, six hundred fifty-six thousand, forty".