622252800 has 432 divisors, whose sum is σ = 2466126880. Its totient is φ = 152616960.

The previous prime is 622252789. The next prime is 622252811. The reversal of 622252800 is 8252226.

It is an interprime number because it is at equal distance from previous prime (622252789) and next prime (622252811).

It is a tau number, because it is divible by the number of its divisors (432).

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, 2246262 + ... + 2246538.

Almost surely, 2^622252800 is an apocalyptic number.

622252800 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 622252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233063440).

622252800 is an abundant number, since it is smaller than the sum of its proper divisors (1843874080).

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

622252800 is a wasteful number, since it uses less digits than its factorization.

622252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 622252800 is about 24944.9954900778. The cubic root of 622252800 is about 853.7334278335.

It can be divided in two parts, 62225 and 2800, that added together give a square (65025 = 255²).

The spelling of 622252800 in words is "six hundred twenty-two million, two hundred fifty-two thousand, eight hundred".