113478480 has 90 divisors (see below), whose sum is σ = 382060926. Its totient is φ = 30184704.

The previous prime is 113478467. The next prime is 113478487. The reversal of 113478480 is 84874311.

It can be written as a sum of positive squares in 3 ways, for example, as 25644096 + 87834384 = 5064^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×113478480² = 25754730846220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113478487) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 285642 + ... + 286038.

Almost surely, 2^113478480 is an apocalyptic number.

113478480 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 113478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191030463).

113478480 is an abundant number, since it is smaller than the sum of its proper divisors (268582446).

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

113478480 is an equidigital number, since it uses as much as digits as its factorization.

113478480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 113478480 is about 10652.6278448090. The cubic root of 113478480 is about 484.1402275651.

The spelling of 113478480 in words is "one hundred thirteen million, four hundred seventy-eight thousand, four hundred eighty".