113546400 has 432 divisors, whose sum is σ = 448846272. Its totient is φ = 24780800.

The previous prime is 113546371. The next prime is 113546443. The reversal of 113546400 is 4645311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4936789 + ... + 4936811.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^113546400 is an apocalyptic number.

113546400 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 113546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

113546400 is an abundant number, since it is smaller than the sum of its proper divisors (335299872).

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

113546400 is a wasteful number, since it uses less digits than its factorization.

113546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 113546400 is about 10655.8153137149. The cubic root of 113546400 is about 484.2367987270.

The spelling of 113546400 in words is "one hundred thirteen million, five hundred forty-six thousand, four hundred".