253400820 has 48 divisors (see below), whose sum is σ = 732415488. Its totient is φ = 65393280.

The previous prime is 253400779. The next prime is 253400831. The reversal of 253400820 is 28004352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66259 + ... + 69978.

It is an arithmetic number, because the mean of its divisors is an integer number (15258656).

Almost surely, 2^253400820 is an apocalyptic number.

253400820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253400820 is an abundant number, since it is smaller than the sum of its proper divisors (479014668).

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

253400820 is a wasteful number, since it uses less digits than its factorization.

253400820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136280 (or 136278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 253400820 is about 15918.5684029689. The cubic root of 253400820 is about 632.8041791255.

The spelling of 253400820 in words is "two hundred fifty-three million, four hundred thousand, eight hundred twenty".