114802400 has 36 divisors (see below), whose sum is σ = 280263312. Its totient is φ = 45920640.

The previous prime is 114802349. The next prime is 114802403. The reversal of 114802400 is 4208411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114802403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70952 + ... + 72551.

It is an arithmetic number, because the mean of its divisors is an integer number (7785092).

Almost surely, 2^114802400 is an apocalyptic number.

114802400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114802400 is an abundant number, since it is smaller than the sum of its proper divisors (165460912).

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

114802400 is a wasteful number, since it uses less digits than its factorization.

114802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143523 (or 143510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 114802400 is about 10714.5881862067. The cubic root of 114802400 is about 486.0157265426.

The spelling of 114802400 in words is "one hundred fourteen million, eight hundred two thousand, four hundred".