621105408 has 360 divisors, whose sum is σ = 2314952640. Its totient is φ = 160911360.

The previous prime is 621105379. The next prime is 621105413. The reversal of 621105408 is 804501126.

621105408 is a `hidden beast` number, since 6 + 2 + 110 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596478 + ... + 1596866.

It is an arithmetic number, because the mean of its divisors is an integer number (6430424).

Almost surely, 2^621105408 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 621105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157476320).

621105408 is an abundant number, since it is smaller than the sum of its proper divisors (1693847232).

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

621105408 is a wasteful number, since it uses less digits than its factorization.

621105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 621105408 is about 24921.9864376819. The cubic root of 621105408 is about 853.2083627754.

The spelling of 621105408 in words is "six hundred twenty-one million, one hundred five thousand, four hundred eight".