113280400 has 60 divisors (see below), whose sum is σ = 273896532. Its totient is φ = 45022720.

The previous prime is 113280397. The next prime is 113280407. The reversal of 113280400 is 4082311.

It can be written as a sum of positive squares in 6 ways, for example, as 4787344 + 108493056 = 2188^2 + 10416^2 .

It is not an unprimeable number, because it can be changed into a prime (113280407) 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, 68382 + ... + 70018.

Almost surely, 2^113280400 is an apocalyptic number.

113280400 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 113280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136948266).

113280400 is an abundant number, since it is smaller than the sum of its proper divisors (160616132).

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

113280400 is a wasteful number, since it uses less digits than its factorization.

113280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 113280400 is about 10643.3265476542. The cubic root of 113280400 is about 483.8583698703.

The spelling of 113280400 in words is "one hundred thirteen million, two hundred eighty thousand, four hundred".