114312400 has 30 divisors (see below), whose sum is σ = 274636502. Its totient is φ = 45724800.

The previous prime is 114312391. The next prime is 114312427. The reversal of 114312400 is 4213411.

It can be written as a sum of positive squares in 3 ways, for example, as 36096064 + 78216336 = 6008^2 + 8844^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142491 + ... + 143290.

Almost surely, 2^114312400 is an apocalyptic number.

114312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114312400 is an abundant number, since it is smaller than the sum of its proper divisors (160324102).

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

114312400 is a wasteful number, since it uses less digits than its factorization.

114312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285799 (or 285788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114312400 is about 10691.6977136468. The cubic root of 114312400 is about 485.3232690892.

Adding to 114312400 its reverse (4213411), we get a palindrome (118525811).

It can be divided in two parts, 11431 and 2400, that added together give a palindrome (13831).

The spelling of 114312400 in words is "one hundred fourteen million, three hundred twelve thousand, four hundred".