252760420 has 96 divisors (see below), whose sum is σ = 645563520. Its totient is φ = 81930240.

The previous prime is 252760411. The next prime is 252760463. The reversal of 252760420 is 24067252.

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, 69282 + ... + 72838.

It is an arithmetic number, because the mean of its divisors is an integer number (6724620).

Almost surely, 2^252760420 is an apocalyptic number.

252760420 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 252760420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322781760).

252760420 is an abundant number, since it is smaller than the sum of its proper divisors (392803100).

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

252760420 is a wasteful number, since it uses less digits than its factorization.

252760420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 252760420 is about 15898.4408040537. The cubic root of 252760420 is about 632.2706506493.

The spelling of 252760420 in words is "two hundred fifty-two million, seven hundred sixty thousand, four hundred twenty".