253124920 has 32 divisors (see below), whose sum is σ = 587905920. Its totient is φ = 97983360.

The previous prime is 253124891. The next prime is 253124933. The reversal of 253124920 is 29421352.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 100827 + ... + 103306.

It is an arithmetic number, because the mean of its divisors is an integer number (18372060).

Almost surely, 2^253124920 is an apocalyptic number.

253124920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253124920 is an abundant number, since it is smaller than the sum of its proper divisors (334781000).

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

253124920 is a wasteful number, since it uses less digits than its factorization.

253124920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204175 (or 204171 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 253124920 is about 15909.9000625397. The cubic root of 253124920 is about 632.5744323347.

The spelling of 253124920 in words is "two hundred fifty-three million, one hundred twenty-four thousand, nine hundred twenty".