406564664 has 32 divisors (see below), whose sum is σ = 849312000. Its totient is φ = 180868320.

The previous prime is 406564663. The next prime is 406564703. The reversal of 406564664 is 466465604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406564663) 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, 45014 + ... + 53285.

It is an arithmetic number, because the mean of its divisors is an integer number (26541000).

Almost surely, 2^406564664 is an apocalyptic number.

406564664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406564664 is an abundant number, since it is smaller than the sum of its proper divisors (442747336).

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

406564664 is a wasteful number, since it uses less digits than its factorization.

406564664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98363 (or 98359 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The square root of 406564664 is about 20163.4487129558. The cubic root of 406564664 is about 740.8151863917.

The spelling of 406564664 in words is "four hundred six million, five hundred sixty-four thousand, six hundred sixty-four".