646662400 has 108 divisors (see below), whose sum is σ = 1622118400. Its totient is φ = 255191040.

The previous prime is 646662389. The next prime is 646662407. The reversal of 646662400 is 4266646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646662407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504961 + ... + 506239.

Almost surely, 2^646662400 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 646662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811059200).

646662400 is an abundant number, since it is smaller than the sum of its proper divisors (975456000).

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

646662400 is a wasteful number, since it uses less digits than its factorization.

646662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 646662400 is about 25429.5576052750. The cubic root of 646662400 is about 864.7539144271.

The spelling of 646662400 in words is "six hundred forty-six million, six hundred sixty-two thousand, four hundred".