649209824 has 48 divisors (see below), whose sum is σ = 1312103520. Its totient is φ = 316085760.

The previous prime is 649209823. The next prime is 649209851. The reversal of 649209824 is 428902946.

It is a happy number.

It is a super-2 number, since 2×649209824² = 842946791156221952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649209823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199442 + ... + 202670.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 2^649209824 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 649209824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656051760).

649209824 is an abundant number, since it is smaller than the sum of its proper divisors (662893696).

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

649209824 is a wasteful number, since it uses less digits than its factorization.

649209824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 649209824 is about 25479.5962291399. The cubic root of 649209824 is about 865.8879469290.

The spelling of 649209824 in words is "six hundred forty-nine million, two hundred nine thousand, eight hundred twenty-four".