252042472 has 32 divisors (see below), whose sum is σ = 520873920. Its totient is φ = 113379840.

The previous prime is 252042463. The next prime is 252042473. The reversal of 252042472 is 274240252.

252042472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252042472³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252042472.

It is not an unprimeable number, because it can be changed into a prime (252042473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6228 + ... + 23299.

It is an arithmetic number, because the mean of its divisors is an integer number (16277310).

Almost surely, 2^252042472 is an apocalyptic number.

252042472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252042472 is an abundant number, since it is smaller than the sum of its proper divisors (268831448).

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

252042472 is a wasteful number, since it uses less digits than its factorization.

252042472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29641 (or 29637 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 252042472 is about 15875.8455522848. The cubic root of 252042472 is about 631.6714430136.

The spelling of 252042472 in words is "two hundred fifty-two million, forty-two thousand, four hundred seventy-two".