114400507 has 8 divisors (see below), whose sum is σ = 123883760. Its totient is φ = 105014880.

The previous prime is 114400487. The next prime is 114400513. The reversal of 114400507 is 705004411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114400507 - 2¹⁵ = 114367739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114400547) 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 7 ways as a sum of consecutive naturals, for example, 21957 + ... + 26662.

It is an arithmetic number, because the mean of its divisors is an integer number (15485470).

Almost surely, 2^114400507 is an apocalyptic number.

114400507 is a deficient number, since it is larger than the sum of its proper divisors (9483253).

114400507 is a wasteful number, since it uses less digits than its factorization.

114400507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48813.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 114400507 is about 10695.8172665767. The cubic root of 114400507 is about 485.4479257203.

Adding to 114400507 its reverse (705004411), we get a palindrome (819404918).

The spelling of 114400507 in words is "one hundred fourteen million, four hundred thousand, five hundred seven".