253780800 has 504 divisors, whose sum is σ = 1055619936. Its totient is φ = 52899840.

The previous prime is 253780789. The next prime is 253780837. The reversal of 253780800 is 8087352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3057559 + ... + 3057641.

It is an arithmetic number, because the mean of its divisors is an integer number (2094484).

Almost surely, 2^253780800 is an apocalyptic number.

253780800 is a gapful number since it is divisible by the number (20) 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 253780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527809968).

253780800 is an abundant number, since it is smaller than the sum of its proper divisors (801839136).

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

253780800 is a wasteful number, since it uses less digits than its factorization.

253780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 253780800 is about 15930.4990505634. The cubic root of 253780800 is about 633.1203223327.

The spelling of 253780800 in words is "two hundred fifty-three million, seven hundred eighty thousand, eight hundred".