115407264 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 32769792.

The previous prime is 115407263. The next prime is 115407283. The reversal of 115407264 is 462704511.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (115407263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133297 + ... + 134159.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^115407264 is an apocalyptic number.

115407264 is a gapful number since it is divisible by the number (14) 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 115407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

115407264 is an abundant number, since it is smaller than the sum of its proper divisors (232957536).

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

115407264 is a wasteful number, since it uses less digits than its factorization.

115407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 115407264 is about 10742.7772945361. Note that the first 3 decimals coincide. The cubic root of 115407264 is about 486.8677953511.

The spelling of 115407264 in words is "one hundred fifteen million, four hundred seven thousand, two hundred sixty-four".