113406480 has 400 divisors, whose sum is σ = 451560384. Its totient is φ = 26127360.

The previous prime is 113406479. The next prime is 113406487. The reversal of 113406480 is 84604311.

113406480 is a `hidden beast` number, since 1 + 13 + 4 + 0 + 648 + 0 = 666.

It is a super-3 number, since 3×113406480³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113406487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2637339 + ... + 2637381.

Almost surely, 2^113406480 is an apocalyptic number.

113406480 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 113406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225780192).

113406480 is an abundant number, since it is smaller than the sum of its proper divisors (338153904).

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

113406480 is a wasteful number, since it uses less digits than its factorization.

113406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

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

The square root of 113406480 is about 10649.2478607646. The cubic root of 113406480 is about 484.0378132240.

The spelling of 113406480 in words is "one hundred thirteen million, four hundred six thousand, four hundred eighty".