649414584 has 192 divisors, whose sum is σ = 2245501440. Its totient is φ = 171227520.

The previous prime is 649414583. The next prime is 649414607. The reversal of 649414584 is 485414946.

649414584 is a `hidden beast` number, since 64 + 9 + 4 + 1 + 4 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649414583) 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, 175069 + ... + 178739.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^649414584 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 649414584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

649414584 is an abundant number, since it is smaller than the sum of its proper divisors (1596086856).

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

649414584 is a wasteful number, since it uses less digits than its factorization.

649414584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3696 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 649414584 is about 25483.6140294111. The cubic root of 649414584 is about 865.9789707001.

The spelling of 649414584 in words is "six hundred forty-nine million, four hundred fourteen thousand, five hundred eighty-four".