114756480 has 256 divisors, whose sum is σ = 422280000. Its totient is φ = 29417472.

The previous prime is 114756479. The next prime is 114756491. The reversal of 114756480 is 84657411.

It is a happy number.

114756480 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 5 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501006 + ... + 501234.

Almost surely, 2^114756480 is an apocalyptic number.

114756480 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 114756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211140000).

114756480 is an abundant number, since it is smaller than the sum of its proper divisors (307523520).

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

114756480 is a wasteful number, since it uses less digits than its factorization.

114756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 114756480 is about 10712.4450990425. The cubic root of 114756480 is about 485.9509171587.

It can be divided in two parts, 11475 and 6480, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 114756480 in words is "one hundred fourteen million, seven hundred fifty-six thousand, four hundred eighty".