621944400 has 480 divisors, whose sum is σ = 2550693888. Its totient is φ = 125798400.

The previous prime is 621944399. The next prime is 621944419. The reversal of 621944400 is 4449126.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4897137 + ... + 4897263.

Almost surely, 2^621944400 is an apocalyptic number.

621944400 is a gapful number since it is divisible by the number (60) 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 621944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275346944).

621944400 is an abundant number, since it is smaller than the sum of its proper divisors (1928749488).

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

621944400 is a wasteful number, since it uses less digits than its factorization.

621944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 621944400 is about 24938.8131233224. The cubic root of 621944400 is about 853.5923624988.

The spelling of 621944400 in words is "six hundred twenty-one million, nine hundred forty-four thousand, four hundred".