649482624 has 384 divisors, whose sum is σ = 2346489600. Its totient is φ = 174680064.

The previous prime is 649482623. The next prime is 649482629. The reversal of 649482624 is 426284946.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 649482624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649482623) 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, 4136754 + ... + 4136910.

It is an arithmetic number, because the mean of its divisors is an integer number (6110650).

Almost surely, 2^649482624 is an apocalyptic number.

649482624 is a gapful number since it is divisible by the number (64) 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 649482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173244800).

649482624 is an abundant number, since it is smaller than the sum of its proper divisors (1697006976).

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

649482624 is a wasteful number, since it uses less digits than its factorization.

649482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 649482624 is about 25484.9489699313. The cubic root of 649482624 is about 866.0092128869.

The spelling of 649482624 in words is "six hundred forty-nine million, four hundred eighty-two thousand, six hundred twenty-four".