253178400 has 72 divisors (see below), whose sum is σ = 824103504. Its totient is φ = 67513600.

The previous prime is 253178377. The next prime is 253178423. The reversal of 253178400 is 4871352.

It is an interprime number because it is at equal distance from previous prime (253178377) and next prime (253178423).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50346 + ... + 55145.

It is an arithmetic number, because the mean of its divisors is an integer number (11445882).

Almost surely, 2^253178400 is an apocalyptic number.

253178400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253178400 is an abundant number, since it is smaller than the sum of its proper divisors (570925104).

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

253178400 is a wasteful number, since it uses less digits than its factorization.

253178400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105514 (or 105501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 253178400 is about 15911.5806882912. The cubic root of 253178400 is about 632.6189791121.

The spelling of 253178400 in words is "two hundred fifty-three million, one hundred seventy-eight thousand, four hundred".