114298400 has 36 divisors (see below), whose sum is σ = 279032922. Its totient is φ = 45719040.

The previous prime is 114298397. The next prime is 114298403. The reversal of 114298400 is 4892411.

It is an interprime number because it is at equal distance from previous prime (114298397) and next prime (114298403).

It can be written as a sum of positive squares in 3 ways, for example, as 102981904 + 11316496 = 10148^2 + 3364^2 .

It is not an unprimeable number, because it can be changed into a prime (114298403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70637 + ... + 72236.

Almost surely, 2^114298400 is an apocalyptic number.

114298400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114298400 is an abundant number, since it is smaller than the sum of its proper divisors (164734522).

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

114298400 is a wasteful number, since it uses less digits than its factorization.

114298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142893 (or 142880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 114298400 is about 10691.0429799903. The cubic root of 114298400 is about 485.3034555397.

The spelling of 114298400 in words is "one hundred fourteen million, two hundred ninety-eight thousand, four hundred".