113424400 has 60 divisors (see below), whose sum is σ = 273896532. Its totient is φ = 45137920.

The previous prime is 113424371. The next prime is 113424401. The reversal of 113424400 is 4424311.

It can be written as a sum of positive squares in 6 ways, for example, as 15968016 + 97456384 = 3996^2 + 9872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113424401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92592 + ... + 93808.

Almost surely, 2^113424400 is an apocalyptic number.

113424400 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 113424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136948266).

113424400 is an abundant number, since it is smaller than the sum of its proper divisors (160472132).

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

113424400 is a wasteful number, since it uses less digits than its factorization.

113424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 113424400 is about 10650.0892015044. The cubic root of 113424400 is about 484.0633070664.

Adding to 113424400 its reverse (4424311), we get a palindrome (117848711).

The spelling of 113424400 in words is "one hundred thirteen million, four hundred twenty-four thousand, four hundred".