114638400 has 252 divisors, whose sum is σ = 429920400. Its totient is φ = 28892160.

The previous prime is 114638369. The next prime is 114638431. The reversal of 114638400 is 4836411.

It is an interprime number because it is at equal distance from previous prime (114638369) and next prime (114638431).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273391 + ... + 273809.

Almost surely, 2^114638400 is an apocalyptic number.

114638400 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 114638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214960200).

114638400 is an abundant number, since it is smaller than the sum of its proper divisors (315282000).

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

114638400 is a wasteful number, since it uses less digits than its factorization.

114638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114638400 is about 10706.9323337733. The cubic root of 114638400 is about 485.7841850301.

The spelling of 114638400 in words is "one hundred fourteen million, six hundred thirty-eight thousand, four hundred".