113833440 has 288 divisors, whose sum is σ = 464196096. Its totient is φ = 24837120.

The previous prime is 113833399. The next prime is 113833471. The reversal of 113833440 is 44338311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231595 + ... + 232085.

It is an arithmetic number, because the mean of its divisors is an integer number (1611792).

Almost surely, 2^113833440 is an apocalyptic number.

113833440 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 113833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098048).

113833440 is an abundant number, since it is smaller than the sum of its proper divisors (350362656).

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

113833440 is a wasteful number, since it uses less digits than its factorization.

113833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 113833440 is about 10669.2755142981. The cubic root of 113833440 is about 484.6444980475.

The spelling of 113833440 in words is "one hundred thirteen million, eight hundred thirty-three thousand, four hundred forty".