113462400 has 192 divisors, whose sum is σ = 382475520. Its totient is φ = 29552640.

The previous prime is 113462399. The next prime is 113462417. The reversal of 113462400 is 4264311.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508689 + ... + 508911.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^113462400 is an apocalyptic number.

113462400 is a gapful number since it is divisible by the number (10) 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 113462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

113462400 is an abundant number, since it is smaller than the sum of its proper divisors (269013120).

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

113462400 is a wasteful number, since it uses less digits than its factorization.

113462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 113462400 is about 10651.8730747226. The cubic root of 113462400 is about 484.1173587868.

The spelling of 113462400 in words is "one hundred thirteen million, four hundred sixty-two thousand, four hundred".