114766400 has 84 divisors (see below), whose sum is σ = 322771008. Its totient is φ = 39344640.

The previous prime is 114766397. The next prime is 114766409. The reversal of 114766400 is 4667411.

It is not an unprimeable number, because it can be changed into a prime (114766409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6077 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (3842512).

Almost surely, 2^114766400 is an apocalyptic number.

114766400 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 114766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161385504).

114766400 is an abundant number, since it is smaller than the sum of its proper divisors (208004608).

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

114766400 is a wasteful number, since it uses less digits than its factorization.

114766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 114766400 is about 10712.9081019115. The cubic root of 114766400 is about 485.9649192560.

The spelling of 114766400 in words is "one hundred fourteen million, seven hundred sixty-six thousand, four hundred".