252400680 has 192 divisors, whose sum is σ = 963181440. Its totient is φ = 56111616.

The previous prime is 252400679. The next prime is 252400697. The reversal of 252400680 is 86004252.

252400680 is a `hidden beast` number, since 252 + 400 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×252400680² = 127412206528924800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91887 + ... + 94593.

It is an arithmetic number, because the mean of its divisors is an integer number (5016570).

Almost surely, 2^252400680 is an apocalyptic number.

252400680 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 252400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481590720).

252400680 is an abundant number, since it is smaller than the sum of its proper divisors (710780760).

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

252400680 is a wasteful number, since it uses less digits than its factorization.

252400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252400680 is about 15887.1230875826. The cubic root of 252400680 is about 631.9705495543.

The spelling of 252400680 in words is "two hundred fifty-two million, four hundred thousand, six hundred eighty".