646994304 has 384 divisors, whose sum is σ = 2209858560. Its totient is φ = 186624000.

The previous prime is 646994303. The next prime is 646994329. The reversal of 646994304 is 403499646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 646994304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646994303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606434 + ... + 10606494.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2^646994304 is an apocalyptic number.

646994304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104929280).

646994304 is an abundant number, since it is smaller than the sum of its proper divisors (1562864256).

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

646994304 is a wasteful number, since it uses less digits than its factorization.

646994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 646994304 is about 25436.0827172739. The cubic root of 646994304 is about 864.9018361211.

The spelling of 646994304 in words is "six hundred forty-six million, nine hundred ninety-four thousand, three hundred four".