113869440 has 192 divisors, whose sum is σ = 401698440. Its totient is φ = 29712384.

The previous prime is 113869439. The next prime is 113869471. The reversal of 113869440 is 44968311.

It can be written as a sum of positive squares in 4 ways, for example, as 102090816 + 11778624 = 10104^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 113869395 and 113869404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305094 + ... + 305466.

Almost surely, 2^113869440 is an apocalyptic number.

113869440 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 113869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200849220).

113869440 is an abundant number, since it is smaller than the sum of its proper divisors (287829000).

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

113869440 is a wasteful number, since it uses less digits than its factorization.

113869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

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

The square root of 113869440 is about 10670.9624683062. The cubic root of 113869440 is about 484.6955825180.

The spelling of 113869440 in words is "one hundred thirteen million, eight hundred sixty-nine thousand, four hundred forty".