621730304 has 80 divisors (see below), whose sum is σ = 1384364520. Its totient is φ = 276971520.

The previous prime is 621730297. The next prime is 621730309. The reversal of 621730304 is 403037126.

It can be written as a sum of positive squares in 4 ways, for example, as 512569600 + 109160704 = 22640^2 + 10448^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (621730309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191414 + ... + 194634.

Almost surely, 2^621730304 is an apocalyptic number.

621730304 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 621730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692182260).

621730304 is an abundant number, since it is smaller than the sum of its proper divisors (762634216).

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

621730304 is a wasteful number, since it uses less digits than its factorization.

621730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 621730304 is about 24934.5203282518. The cubic root of 621730304 is about 853.4944053586.

The spelling of 621730304 in words is "six hundred twenty-one million, seven hundred thirty thousand, three hundred four".