649460900 has 72 divisors (see below), whose sum is σ = 1562816640. Its totient is φ = 232272000.

The previous prime is 649460897. The next prime is 649460939. The reversal of 649460900 is 9064946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62261 + ... + 71939.

Almost surely, 2^649460900 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 649460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781408320).

649460900 is an abundant number, since it is smaller than the sum of its proper divisors (913355740).

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

649460900 is a wasteful number, since it uses less digits than its factorization.

649460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 649460900 is about 25484.5227540168. The cubic root of 649460900 is about 865.9995573071. Note that the first 3 decimals are identical.

The spelling of 649460900 in words is "six hundred forty-nine million, four hundred sixty thousand, nine hundred".