414400014 has 24 divisors (see below), whose sum is σ = 1026133680. Its totient is φ = 118399968.

The previous prime is 414400009. The next prime is 414400031. The reversal of 414400014 is 410004414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 414400014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644319 + ... + 1644570.

It is an arithmetic number, because the mean of its divisors is an integer number (42755570).

Almost surely, 2^414400014 is an apocalyptic number.

414400014 is an abundant number, since it is smaller than the sum of its proper divisors (611733666).

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

414400014 is a wasteful number, since it uses less digits than its factorization.

414400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288904 (or 3288901 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414400014 is about 20356.8173838643. The cubic root of 414400014 is about 745.5439559954.

Adding to 414400014 its reverse (410004414), we get a palindrome (824404428).

The spelling of 414400014 in words is "four hundred fourteen million, four hundred thousand, fourteen".