904622400 has 252 divisors, whose sum is σ = 3508150464. Its totient is φ = 219264000.

The previous prime is 904622399. The next prime is 904622417. The reversal of 904622400 is 4226409.

904622400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155545 + ... + 161255.

It is an arithmetic number, because the mean of its divisors is an integer number (13921232).

Almost surely, 2^904622400 is an apocalyptic number.

904622400 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 904622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754075232).

904622400 is an abundant number, since it is smaller than the sum of its proper divisors (2603528064).

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

904622400 is a wasteful number, since it uses less digits than its factorization.

904622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5732 counting only the distinct ones).

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

The square root of 904622400 is about 30076.9413338524. The cubic root of 904622400 is about 967.1394806836.

Adding to 904622400 its reverse (4226409), we get a palindrome (908848809).

The spelling of 904622400 in words is "nine hundred four million, six hundred twenty-two thousand, four hundred".