253628460 has 72 divisors (see below), whose sum is σ = 788126976. Its totient is φ = 65982720.

The previous prime is 253628449. The next prime is 253628483. The reversal of 253628460 is 64826352.

253628460 is a `hidden beast` number, since 25 + 3 + 628 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9804 + ... + 24563.

It is an arithmetic number, because the mean of its divisors is an integer number (10946208).

Almost surely, 2^253628460 is an apocalyptic number.

253628460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253628460 is an abundant number, since it is smaller than the sum of its proper divisors (534498516).

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

253628460 is a wasteful number, since it uses less digits than its factorization.

253628460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34423 (or 34418 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 253628460 is about 15925.7169383359. The cubic root of 253628460 is about 632.9936134363.

The spelling of 253628460 in words is "two hundred fifty-three million, six hundred twenty-eight thousand, four hundred sixty".