114980400 has 270 divisors, whose sum is σ = 430508780. Its totient is φ = 28339200.

The previous prime is 114980399. The next prime is 114980413. The reversal of 114980400 is 4089411.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2804380 + ... + 2804420.

Almost surely, 2^114980400 is an apocalyptic number.

114980400 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 114980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215254390).

114980400 is an abundant number, since it is smaller than the sum of its proper divisors (315528380).

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

114980400 is a wasteful number, since it uses less digits than its factorization.

114980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114980400 is about 10722.8914011101. The cubic root of 114980400 is about 486.2667843789.

The spelling of 114980400 in words is "one hundred fourteen million, nine hundred eighty thousand, four hundred".