322790400 has 264 divisors, whose sum is σ = 1187915040. Its totient is φ = 85893120.

The previous prime is 322790399. The next prime is 322790401. The reversal of 322790400 is 4097223.

It is an interprime number because it is at equal distance from previous prime (322790399) and next prime (322790401).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (322790401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 690967 + ... + 691433.

Almost surely, 2^322790400 is an apocalyptic number.

322790400 is a gapful number since it is divisible by the number (30) 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 322790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593957520).

322790400 is an abundant number, since it is smaller than the sum of its proper divisors (865124640).

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

322790400 is a wasteful number, since it uses less digits than its factorization.

322790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 322790400 is about 17966.3685813244. The cubic root of 322790400 is about 685.9727597011.

The spelling of 322790400 in words is "three hundred twenty-two million, seven hundred ninety thousand, four hundred".