649433600 has 120 divisors (see below), whose sum is σ = 1626876900. Its totient is φ = 256901120.

The previous prime is 649433579. The next prime is 649433669. The reversal of 649433600 is 6334946.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 86415616 + 563017984 = 9296^2 + 23728^2 .

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 11 ways as a sum of consecutive naturals, for example, 1446176 + ... + 1446624.

Almost surely, 2^649433600 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 649433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813438450).

649433600 is an abundant number, since it is smaller than the sum of its proper divisors (977443300).

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

649433600 is a wasteful number, since it uses less digits than its factorization.

649433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 649433600 is about 25483.9871291758. The cubic root of 649433600 is about 865.9874230795.

The spelling of 649433600 in words is "six hundred forty-nine million, four hundred thirty-three thousand, six hundred".