622598400 has 270 divisors, whose sum is σ = 2303946722. Its totient is φ = 165888000.

The previous prime is 622598393. The next prime is 622598413. The reversal of 622598400 is 4895226.

It is a happy number.

622598400 is a `hidden beast` number, since 6 + 22 + 598 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9144576 + 613453824 = 3024^2 + 24768^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517800 + ... + 519000.

Almost surely, 2^622598400 is an apocalyptic number.

622598400 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 622598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151973361).

622598400 is an abundant number, since it is smaller than the sum of its proper divisors (1681348322).

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

622598400 is a wasteful number, since it uses less digits than its factorization.

622598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 622598400 is about 24951.9217696754. The cubic root of 622598400 is about 853.8914534600.

The spelling of 622598400 in words is "six hundred twenty-two million, five hundred ninety-eight thousand, four hundred".