113604480 has 288 divisors, whose sum is σ = 433840680. Its totient is φ = 27371520.

The previous prime is 113604479. The next prime is 113604511. The reversal of 113604480 is 84406311.

113604480 is a `hidden beast` number, since 1 + 13 + 604 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696879 + ... + 697041.

Almost surely, 2^113604480 is an apocalyptic number.

113604480 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 113604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216920340).

113604480 is an abundant number, since it is smaller than the sum of its proper divisors (320236200).

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

113604480 is a wasteful number, since it uses less digits than its factorization.

113604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 113604480 is about 10658.5402377624. The cubic root of 113604480 is about 484.3193484727.

The spelling of 113604480 in words is "one hundred thirteen million, six hundred four thousand, four hundred eighty".