114734400 has 336 divisors, whose sum is σ = 428597568. Its totient is φ = 26624000.

The previous prime is 114734387. The next prime is 114734423. The reversal of 114734400 is 4437411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2164774 + ... + 2164826.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 2^114734400 is an apocalyptic number.

114734400 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 114734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214298784).

114734400 is an abundant number, since it is smaller than the sum of its proper divisors (313863168).

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

114734400 is a wasteful number, since it uses less digits than its factorization.

114734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 114734400 is about 10711.4144724215. The cubic root of 114734400 is about 485.9197483030.

The spelling of 114734400 in words is "one hundred fourteen million, seven hundred thirty-four thousand, four hundred".