253060800 has 84 divisors (see below), whose sum is σ = 830266056. Its totient is φ = 67481600.

The previous prime is 253060777. The next prime is 253060823. The reversal of 253060800 is 8060352.

It is an interprime number because it is at equal distance from previous prime (253060777) and next prime (253060823).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21561 + ... + 31160.

Almost surely, 2^253060800 is an apocalyptic number.

253060800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253060800 is an abundant number, since it is smaller than the sum of its proper divisors (577205256).

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

253060800 is a wasteful number, since it uses less digits than its factorization.

253060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52746 (or 52731 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 253060800 is about 15907.8848374006. The cubic root of 253060800 is about 632.5210145757.

The spelling of 253060800 in words is "two hundred fifty-three million, sixty thousand, eight hundred".