253606464 has 168 divisors, whose sum is σ = 787725120. Its totient is φ = 80745984.

The previous prime is 253606447. The next prime is 253606477. The reversal of 253606464 is 464606352.

253606464 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 0 + 646 + 4 = 666.

253606464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 357342 + ... + 358050.

It is an arithmetic number, because the mean of its divisors is an integer number (4688840).

Almost surely, 2^253606464 is an apocalyptic number.

253606464 is a gapful number since it is divisible by the number (24) 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 253606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393862560).

253606464 is an abundant number, since it is smaller than the sum of its proper divisors (534118656).

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

253606464 is an equidigital number, since it uses as much as digits as its factorization.

253606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 253606464 is about 15925.0263422074. The cubic root of 253606464 is about 632.9753140572.

The spelling of 253606464 in words is "two hundred fifty-three million, six hundred six thousand, four hundred sixty-four".