114000414 has 32 divisors (see below), whose sum is σ = 251306496. Its totient is φ = 34187520.

The previous prime is 114000413. The next prime is 114000431. The reversal of 114000414 is 414000411.

It is a junction number, because it is equal to n+sod(n) for n = 114000393 and 114000402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114000413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2502 + ... + 15305.

It is an arithmetic number, because the mean of its divisors is an integer number (7853328).

Almost surely, 2^114000414 is an apocalyptic number.

114000414 is an abundant number, since it is smaller than the sum of its proper divisors (137306082).

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

114000414 is a wasteful number, since it uses less digits than its factorization.

114000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114000414 is about 10677.0976393400. The cubic root of 114000414 is about 484.8813455442.

Adding to 114000414 its reverse (414000411), we get a palindrome (528000825).

The spelling of 114000414 in words is "one hundred fourteen million, four hundred fourteen", and thus it is an aban number.