406708064 has 96 divisors (see below), whose sum is σ = 955644480. Its totient is φ = 166699008.

The previous prime is 406708019. The next prime is 406708097. The reversal of 406708064 is 460807604.

It is a super-2 number, since 2×406708064² = 330822898645256192, which contains 22 as substring.

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, 889724 + ... + 890180.

It is an arithmetic number, because the mean of its divisors is an integer number (9954630).

Almost surely, 2^406708064 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 406708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477822240).

406708064 is an abundant number, since it is smaller than the sum of its proper divisors (548936416).

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

406708064 is a wasteful number, since it uses less digits than its factorization.

406708064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 406708064 is about 20167.0043387708. The cubic root of 406708064 is about 740.9022741457.

The spelling of 406708064 in words is "four hundred six million, seven hundred eight thousand, sixty-four".