621680400 has 240 divisors, whose sum is σ = 2414339520. Its totient is φ = 150681600.

The previous prime is 621680383. The next prime is 621680441. The reversal of 621680400 is 4086126.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 116184 + ... + 121416.

It is an arithmetic number, because the mean of its divisors is an integer number (10059748).

Almost surely, 2^621680400 is an apocalyptic number.

621680400 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 621680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207169760).

621680400 is an abundant number, since it is smaller than the sum of its proper divisors (1792659120).

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

621680400 is a wasteful number, since it uses less digits than its factorization.

621680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 621680400 is about 24933.5196071473. The cubic root of 621680400 is about 853.4715691309.

The spelling of 621680400 in words is "six hundred twenty-one million, six hundred eighty thousand, four hundred".