253372320 has 192 divisors, whose sum is σ = 898128000. Its totient is φ = 66705408.

The previous prime is 253372309. The next prime is 253372349. The reversal of 253372320 is 23273352.

253372320 is a `hidden beast` number, since 2 + 5 + 337 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 384151 + ... + 384809.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2^253372320 is an apocalyptic number.

253372320 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 253372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000).

253372320 is an abundant number, since it is smaller than the sum of its proper divisors (644755680).

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

253372320 is a wasteful number, since it uses less digits than its factorization.

253372320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 253372320 is about 15917.6731967961. The cubic root of 253372320 is about 632.7804543992.

The spelling of 253372320 in words is "two hundred fifty-three million, three hundred seventy-two thousand, three hundred twenty".