414456564 has 12 divisors (see below), whose sum is σ = 967065344. Its totient is φ = 138152184.

The previous prime is 414456521. The next prime is 414456569. The reversal of 414456564 is 465654414.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414456569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17269012 + ... + 17269035.

Almost surely, 2^414456564 is an apocalyptic number.

It is an amenable number.

414456564 is an abundant number, since it is smaller than the sum of its proper divisors (552608780).

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

414456564 is a wasteful number, since it uses less digits than its factorization.

414456564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34538054 (or 34538052 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 414456564 is about 20358.2063060575. The cubic root of 414456564 is about 745.5778673465.

It can be divided in two parts, 41 and 4456564, that added together give a triangular number (4456605 = T₂₉₈₅).

The spelling of 414456564 in words is "four hundred fourteen million, four hundred fifty-six thousand, five hundred sixty-four".