649499040 has 384 divisors, whose sum is σ = 2463955200. Its totient is φ = 159252480.

The previous prime is 649499033. The next prime is 649499069. The reversal of 649499040 is 40994946.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365184 + ... + 3365376.

It is an arithmetic number, because the mean of its divisors is an integer number (6416550).

Almost surely, 2^649499040 is an apocalyptic number.

649499040 is a gapful number since it is divisible by the number (60) 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 649499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231977600).

649499040 is an abundant number, since it is smaller than the sum of its proper divisors (1814456160).

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

649499040 is a wasteful number, since it uses less digits than its factorization.

649499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 649499040 is about 25485.2710403480. The cubic root of 649499040 is about 866.0165090983.

The spelling of 649499040 in words is "six hundred forty-nine million, four hundred ninety-nine thousand, forty".