406466064 has 30 divisors (see below), whose sum is σ = 1137540846. Its totient is φ = 135488640.

The previous prime is 406466041. The next prime is 406466101. The reversal of 406466064 is 460664604.

It is a happy number.

406466064 is a `hidden beast` number, since 4 + 0 + 6 + 46 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 396806400 + 9659664 = 19920^2 + 3108^2 .

It is a super-2 number, since 2×406466064² = 330429322367304192, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1411197 + ... + 1411484.

Almost surely, 2^406466064 is an apocalyptic number.

It is an amenable number.

406466064 is an abundant number, since it is smaller than the sum of its proper divisors (731074782).

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

406466064 is a wasteful number, since it uses less digits than its factorization.

406466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822695 (or 2822686 counting only the distinct ones).

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

The square root of 406466064 is about 20161.0035464508. The cubic root of 406466064 is about 740.7552940879.

The spelling of 406466064 in words is "four hundred six million, four hundred sixty-six thousand, sixty-four".