253766400 has 108 divisors (see below), whose sum is σ = 837545352. Its totient is φ = 67665920.

The previous prime is 253766393. The next prime is 253766411. The reversal of 253766400 is 4667352.

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, 12592 + ... + 25808.

Almost surely, 2^253766400 is an apocalyptic number.

253766400 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 253766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418772676).

253766400 is an abundant number, since it is smaller than the sum of its proper divisors (583778952).

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

253766400 is a wasteful number, since it uses less digits than its factorization.

253766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 253766400 is about 15930.0470809097. The cubic root of 253766400 is about 633.1083472935.

The spelling of 253766400 in words is "two hundred fifty-three million, seven hundred sixty-six thousand, four hundred".