252955920 has 240 divisors, whose sum is σ = 953831808. Its totient is φ = 54312960.

The previous prime is 252955823. The next prime is 252955931. The reversal of 252955920 is 29559252.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 485260 + ... + 485780.

Almost surely, 2^252955920 is an apocalyptic number.

252955920 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 252955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476915904).

252955920 is an abundant number, since it is smaller than the sum of its proper divisors (700875888).

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

252955920 is a wasteful number, since it uses less digits than its factorization.

252955920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 252955920 is about 15904.5880172987. The cubic root of 252955920 is about 632.4336205967.

The spelling of 252955920 in words is "two hundred fifty-two million, nine hundred fifty-five thousand, nine hundred twenty".