252352240 has 80 divisors (see below), whose sum is σ = 679831488. Its totient is φ = 85321728.

The previous prime is 252352187. The next prime is 252352271. The reversal of 252352240 is 42253252.

It is a happy number.

252352240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37794 + ... + 43966.

Almost surely, 2^252352240 is an apocalyptic number.

252352240 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 252352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339915744).

252352240 is an abundant number, since it is smaller than the sum of its proper divisors (427479248).

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

252352240 is a wasteful number, since it uses less digits than its factorization.

252352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 252352240 is about 15885.5985093417. The cubic root of 252352240 is about 631.9301183215.

The spelling of 252352240 in words is "two hundred fifty-two million, three hundred fifty-two thousand, two hundred forty".