621464256 has 252 divisors, whose sum is σ = 2102726808. Its totient is φ = 174956544.

The previous prime is 621464231. The next prime is 621464269. The reversal of 621464256 is 652464126.

621464256 is a `hidden beast` number, since 6 + 2 + 1 + 4 + 642 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 621464256.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2737615 + ... + 2737841.

It is an arithmetic number, because the mean of its divisors is an integer number (8344154).

Almost surely, 2^621464256 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 621464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051363404).

621464256 is an abundant number, since it is smaller than the sum of its proper divisors (1481262552).

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

621464256 is a wasteful number, since it uses less digits than its factorization.

621464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 621464256 is about 24929.1848242176. The cubic root of 621464256 is about 853.3726468433.

The spelling of 621464256 in words is "six hundred twenty-one million, four hundred sixty-four thousand, two hundred fifty-six".