113892480 has 320 divisors, whose sum is σ = 440609400. Its totient is φ = 28035072.

The previous prime is 113892473. The next prime is 113892491. The reversal of 113892480 is 84298311.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 112021056 = 1368^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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, 8760954 + ... + 8760966.

Almost surely, 2^113892480 is an apocalyptic number.

113892480 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 113892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220304700).

113892480 is an abundant number, since it is smaller than the sum of its proper divisors (326716920).

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

113892480 is an frugal number, since it uses more digits than its factorization.

113892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 113892480 is about 10672.0419789279. The cubic root of 113892480 is about 484.7282709288.

The spelling of 113892480 in words is "one hundred thirteen million, eight hundred ninety-two thousand, four hundred eighty".