114664400 has 60 divisors (see below), whose sum is σ = 277240812. Its totient is φ = 45573120.

The previous prime is 114664399. The next prime is 114664421. The reversal of 114664400 is 4466411.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 114661264 = 56^2 + 10708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114664400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68372 + ... + 70028.

Almost surely, 2^114664400 is an apocalyptic number.

114664400 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 114664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138620406).

114664400 is an abundant number, since it is smaller than the sum of its proper divisors (162576412).

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

114664400 is a wasteful number, since it uses less digits than its factorization.

114664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 114664400 is about 10708.1464315726. The cubic root of 114664400 is about 485.8209075538.

The spelling of 114664400 in words is "one hundred fourteen million, six hundred sixty-four thousand, four hundred".