114516480 has 320 divisors, whose sum is σ = 417973248. Its totient is φ = 26542080.

The previous prime is 114516473. The next prime is 114516497. The reversal of 114516480 is 84615411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×114516480² = 26228048383180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3095022 + ... + 3095058.

Almost surely, 2^114516480 is an apocalyptic number.

114516480 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 114516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208986624).

114516480 is an abundant number, since it is smaller than the sum of its proper divisors (303456768).

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

114516480 is a wasteful number, since it uses less digits than its factorization.

114516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114516480 is about 10701.2373116383. The cubic root of 114516480 is about 485.6119105377.

The spelling of 114516480 in words is "one hundred fourteen million, five hundred sixteen thousand, four hundred eighty".