253004064 has 48 divisors (see below), whose sum is σ = 703207008. Its totient is φ = 79373312.

The previous prime is 253004021. The next prime is 253004069. The reversal of 253004064 is 460400352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×253004064² = 128022112801032192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253004069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75882 + ... + 79145.

It is an arithmetic number, because the mean of its divisors is an integer number (14650146).

Almost surely, 2^253004064 is an apocalyptic number.

253004064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253004064 is an abundant number, since it is smaller than the sum of its proper divisors (450202944).

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

253004064 is a wasteful number, since it uses less digits than its factorization.

253004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155057 (or 155049 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 253004064 is about 15906.1014708193. The cubic root of 253004064 is about 632.4737408315.

The spelling of 253004064 in words is "two hundred fifty-three million, four thousand, sixty-four".