622348800 has 240 divisors, whose sum is σ = 2166632160. Its totient is φ = 157040640.

The previous prime is 622348759. The next prime is 622348813. The reversal of 622348800 is 8843226.

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

It is a super-2 number, since 2×622348800² = 774636057722880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729174 + ... + 730026.

It is an arithmetic number, because the mean of its divisors is an integer number (9027634).

Almost surely, 2^622348800 is an apocalyptic number.

622348800 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 622348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083316080).

622348800 is an abundant number, since it is smaller than the sum of its proper divisors (1544283360).

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

622348800 is a wasteful number, since it uses less digits than its factorization.

622348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 622348800 is about 24946.9196495279. The cubic root of 622348800 is about 853.7773297088. Note that the first 3 decimals are identical.

The spelling of 622348800 in words is "six hundred twenty-two million, three hundred forty-eight thousand, eight hundred".