252313920 has 448 divisors, whose sum is σ = 987552000. Its totient is φ = 60383232.

The previous prime is 252313883. The next prime is 252313921. The reversal of 252313920 is 29313252.

252313920 is a `hidden beast` number, since 2 + 523 + 139 + 2 + 0 = 666.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252313921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760614 + ... + 4760666.

Almost surely, 2^252313920 is an apocalyptic number.

252313920 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 252313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776000).

252313920 is an abundant number, since it is smaller than the sum of its proper divisors (735238080).

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

252313920 is a wasteful number, since it uses less digits than its factorization.

252313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 252313920 is about 15884.3923396522. The cubic root of 252313920 is about 631.8981302454.

The spelling of 252313920 in words is "two hundred fifty-two million, three hundred thirteen thousand, nine hundred twenty".