114054480 has 120 divisors (see below), whose sum is σ = 397287072. Its totient is φ = 30409344.

The previous prime is 114054469. The next prime is 114054503. The reversal of 114054480 is 84450411.

It is a happy number.

114054480 is a `hidden beast` number, since 1 + 1 + 40 + 544 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16507 + ... + 22373.

Almost surely, 2^114054480 is an apocalyptic number.

114054480 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 114054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198643536).

114054480 is an abundant number, since it is smaller than the sum of its proper divisors (283232592).

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

114054480 is an equidigital number, since it uses as much as digits as its factorization.

114054480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114054480 is about 10679.6292070465. The cubic root of 114054480 is about 484.9579869371.

It can be divided in two parts, 1140544 and 80, that added together give a square (1140624 = 1068²).

The spelling of 114054480 in words is "one hundred fourteen million, fifty-four thousand, four hundred eighty".