252376320 has 288 divisors, whose sum is σ = 947761920. Its totient is φ = 56033280.

The previous prime is 252376277. The next prime is 252376343. The reversal of 252376320 is 23673252.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101966 + ... + 1102194.

It is an arithmetic number, because the mean of its divisors is an integer number (3290840).

Almost surely, 2^252376320 is an apocalyptic number.

252376320 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 252376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473880960).

252376320 is an abundant number, since it is smaller than the sum of its proper divisors (695385600).

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

252376320 is a wasteful number, since it uses less digits than its factorization.

252376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 252376320 is about 15886.3564104549. The cubic root of 252376320 is about 631.9502177313.

The spelling of 252376320 in words is "two hundred fifty-two million, three hundred seventy-six thousand, three hundred twenty".