414009964 has 24 divisors (see below), whose sum is σ = 749156688. Its totient is φ = 200060160.

The previous prime is 414009961. The next prime is 414009979. The reversal of 414009964 is 469900414.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (414009961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5752 + ... + 29344.

It is an arithmetic number, because the mean of its divisors is an integer number (31214862).

Almost surely, 2^414009964 is an apocalyptic number.

It is an amenable number.

414009964 is a deficient number, since it is larger than the sum of its proper divisors (335146724).

414009964 is a wasteful number, since it uses less digits than its factorization.

414009964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23745 (or 23743 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 414009964 is about 20347.2347998444. The cubic root of 414009964 is about 745.3099705584.

The spelling of 414009964 in words is "four hundred fourteen million, nine thousand, nine hundred sixty-four".