621028480 has 128 divisors (see below), whose sum is σ = 1533427200. Its totient is φ = 240414720.

The previous prime is 621028477. The next prime is 621028483. The reversal of 621028480 is 84820126.

It is an interprime number because it is at equal distance from previous prime (621028477) and next prime (621028483).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×621028480² = 771352745942220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (621028483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589674 + ... + 3589846.

It is an arithmetic number, because the mean of its divisors is an integer number (11979900).

Almost surely, 2^621028480 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 621028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766713600).

621028480 is an abundant number, since it is smaller than the sum of its proper divisors (912398720).

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

621028480 is a wasteful number, since it uses less digits than its factorization.

621028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 621028480 is about 24920.4430137187. The cubic root of 621028480 is about 853.1731361605.

The spelling of 621028480 in words is "six hundred twenty-one million, twenty-eight thousand, four hundred eighty".