414014008 has 8 divisors (see below), whose sum is σ = 776276280. Its totient is φ = 207007000.

The previous prime is 414013987. The next prime is 414014057. The reversal of 414014008 is 800410414.

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 414014008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25875868 + ... + 25875883.

It is an arithmetic number, because the mean of its divisors is an integer number (97034535).

Almost surely, 2^414014008 is an apocalyptic number.

It is an amenable number.

414014008 is a deficient number, since it is larger than the sum of its proper divisors (362262272).

414014008 is a wasteful number, since it uses less digits than its factorization.

414014008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51751757 (or 51751753 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 414014008 is about 20347.3341742844. The cubic root of 414014008 is about 745.3123972502.

The spelling of 414014008 in words is "four hundred fourteen million, fourteen thousand, eight".