406064664 has 64 divisors (see below), whose sum is σ = 1141932000. Its totient is φ = 135349056.

The previous prime is 406064657. The next prime is 406064671. The reversal of 406064664 is 466460604.

It is a happy number.

406064664 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 646 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (406064657) and next prime (406064671).

It is a super-2 number, since 2×406064664² = 329777022698865792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5892 + ... + 29100.

Almost surely, 2^406064664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406064664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570966000).

406064664 is an abundant number, since it is smaller than the sum of its proper divisors (735867336).

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

406064664 is an equidigital number, since it uses as much as digits as its factorization.

406064664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23236 (or 23214 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 406064664 is about 20151.0462259407. The cubic root of 406064664 is about 740.5113728582.

The spelling of 406064664 in words is "four hundred six million, sixty-four thousand, six hundred sixty-four".