113474400 has 144 divisors (see below), whose sum is σ = 397880784. Its totient is φ = 27924480.

The previous prime is 113474381. The next prime is 113474407. The reversal of 113474400 is 4474311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113474407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29382 + ... + 33018.

It is an arithmetic number, because the mean of its divisors is an integer number (2763061).

Almost surely, 2^113474400 is an apocalyptic number.

113474400 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 113474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198940392).

113474400 is an abundant number, since it is smaller than the sum of its proper divisors (284406384).

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

113474400 is a wasteful number, since it uses less digits than its factorization.

113474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 113474400 is about 10652.4363410442. The cubic root of 113474400 is about 484.1344252438.

The spelling of 113474400 in words is "one hundred thirteen million, four hundred seventy-four thousand, four hundred".