922406400 has 480 divisors, whose sum is σ = 3607670880. Its totient is φ = 230031360.

The previous prime is 922406389. The next prime is 922406431. The reversal of 922406400 is 4604229.

922406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875122 + ... + 5875278.

It is an arithmetic number, because the mean of its divisors is an integer number (7515981).

Almost surely, 2^922406400 is an apocalyptic number.

922406400 is a gapful number since it is divisible by the number (90) 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 922406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803835440).

922406400 is an abundant number, since it is smaller than the sum of its proper divisors (2685264480).

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

922406400 is a wasteful number, since it uses less digits than its factorization.

922406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 922406400 is about 30371.1441997169. The cubic root of 922406400 is about 973.4360726396.

The spelling of 922406400 in words is "nine hundred twenty-two million, four hundred six thousand, four hundred".