113649480 has 160 divisors (see below), whose sum is σ = 436645440. Its totient is φ = 25971840.

The previous prime is 113649467. The next prime is 113649491. The reversal of 113649480 is 84946311.

113649480 is a `hidden beast` number, since 1 + 1 + 3 + 649 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20175 + ... + 25185.

It is an arithmetic number, because the mean of its divisors is an integer number (2729034).

Almost surely, 2^113649480 is an apocalyptic number.

113649480 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 113649480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218322720).

113649480 is an abundant number, since it is smaller than the sum of its proper divisors (322995960).

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

113649480 is a wasteful number, since it uses less digits than its factorization.

113649480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 113649480 is about 10660.6510120161. The cubic root of 113649480 is about 484.3832881273.

The spelling of 113649480 in words is "one hundred thirteen million, six hundred forty-nine thousand, four hundred eighty".