922400 has 36 divisors (see below), whose sum is σ = 2253762. Its totient is φ = 368640.

The previous prime is 922391. The next prime is 922423. The reversal of 922400 is 4229.

It can be written as a sum of positive squares in 3 ways, for example, as 795664 + 126736 = 892^2 + 356^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

922400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224 + ... + 1376.

2⁹²²⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126881).

922400 is an abundant number, since it is smaller than the sum of its proper divisors (1331362).

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

922400 is a wasteful number, since it uses less digits than its factorization.

922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 922400 is about 960.4165762834. The cubic root of 922400 is about 97.3433821280.

Adding to 922400 its reverse (4229), we get a palindrome (926629).

The spelling of 922400 in words is "nine hundred twenty-two thousand, four hundred".