113577480 has 48 divisors (see below), whose sum is σ = 369127980. Its totient is φ = 30287232.

The previous prime is 113577461. The next prime is 113577487. The reversal of 113577480 is 84775311.

113577480 is a `hidden beast` number, since 1 + 1 + 3 + 577 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104898564 + 8678916 = 10242^2 + 2946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113577487) 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, 157387 + ... + 158106.

Almost surely, 2^113577480 is an apocalyptic number.

113577480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113577480 is an abundant number, since it is smaller than the sum of its proper divisors (255550500).

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

113577480 is a wasteful number, since it uses less digits than its factorization.

113577480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315510 (or 315503 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 113577480 is about 10657.2735725419. The cubic root of 113577480 is about 484.2809765749.

The spelling of 113577480 in words is "one hundred thirteen million, five hundred seventy-seven thousand, four hundred eighty".