114595440 has 60 divisors (see below), whose sum is σ = 355760712. Its totient is φ = 30514560.

The previous prime is 114595433. The next prime is 114595477. The reversal of 114595440 is 44595411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×114595440² = 26264229737587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165495 + ... + 166185.

Almost surely, 2^114595440 is an apocalyptic number.

114595440 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 114595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177880356).

114595440 is an abundant number, since it is smaller than the sum of its proper divisors (241165272).

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

114595440 is an frugal number, since it uses more digits than its factorization.

114595440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 114595440 is about 10704.9259689173. The cubic root of 114595440 is about 485.7234959532.

The spelling of 114595440 in words is "one hundred fourteen million, five hundred ninety-five thousand, four hundred forty".