252171920 has 320 divisors, whose sum is σ = 815947776. Its totient is φ = 69949440.

The previous prime is 252171917. The next prime is 252171937. The reversal of 252171920 is 29171252.

252171920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3763727 + ... + 3763793.

Almost surely, 2^252171920 is an apocalyptic number.

252171920 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 252171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407973888).

252171920 is an abundant number, since it is smaller than the sum of its proper divisors (563775856).

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

252171920 is a wasteful number, since it uses less digits than its factorization.

252171920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 252171920 is about 15879.9219141657. The cubic root of 252171920 is about 631.7795658095.

The spelling of 252171920 in words is "two hundred fifty-two million, one hundred seventy-one thousand, nine hundred twenty".