920304000 has 768 divisors, whose sum is σ = 4170216960. Its totient is φ = 188928000.

The previous prime is 920303987. The next prime is 920304001. The reversal of 920304000 is 403029.

920304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920304001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087959 + ... + 11088041.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^920304000 is an apocalyptic number.

920304000 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 920304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085108480).

920304000 is an abundant number, since it is smaller than the sum of its proper divisors (3249912960).

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

920304000 is a wasteful number, since it uses less digits than its factorization.

920304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 920304000 is about 30336.5126538961. The cubic root of 920304000 is about 972.6959401475.

Adding to 920304000 its reverse (403029), we get a palindrome (920707029).

The spelling of 920304000 in words is "nine hundred twenty million, three hundred four thousand".