115403904 has 192 divisors, whose sum is σ = 414348480. Its totient is φ = 29952000.

The previous prime is 115403861. The next prime is 115403923. The reversal of 115403904 is 409304511.

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

It is a super-2 number, since 2×115403904² = 26636122116882432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88054 + ... + 89354.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^115403904 is an apocalyptic number.

115403904 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 115403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

115403904 is an abundant number, since it is smaller than the sum of its proper divisors (298944576).

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

115403904 is a wasteful number, since it uses less digits than its factorization.

115403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 115403904 is about 10742.6209092567. The cubic root of 115403904 is about 486.8630703693.

The spelling of 115403904 in words is "one hundred fifteen million, four hundred three thousand, nine hundred four".