252678720 has 224 divisors, whose sum is σ = 965606400. Its totient is φ = 54687744.

The previous prime is 252678709. The next prime is 252678731. The reversal of 252678720 is 27876252.

It is an interprime number because it is at equal distance from previous prime (252678709) and next prime (252678731).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 126691 + ... + 128669.

Almost surely, 2^252678720 is an apocalyptic number.

252678720 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 252678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482803200).

252678720 is an abundant number, since it is smaller than the sum of its proper divisors (712927680).

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

252678720 is a wasteful number, since it uses less digits than its factorization.

252678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 252678720 is about 15895.8711620345. The cubic root of 252678720 is about 632.2025201527.

The spelling of 252678720 in words is "two hundred fifty-two million, six hundred seventy-eight thousand, seven hundred twenty".