406064352 has 72 divisors (see below), whose sum is σ = 1125068616. Its totient is φ = 128219904.

The previous prime is 406064311. The next prime is 406064383. The reversal of 406064352 is 253460604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28798 + ... + 40514.

It is an arithmetic number, because the mean of its divisors is an integer number (15625953).

Almost surely, 2^406064352 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 406064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562534308).

406064352 is an abundant number, since it is smaller than the sum of its proper divisors (719004264).

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

406064352 is a wasteful number, since it uses less digits than its factorization.

406064352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 406064352 is about 20151.0384844057. The cubic root of 406064352 is about 740.5111832007.

The spelling of 406064352 in words is "four hundred six million, sixty-four thousand, three hundred fifty-two".