921448320 has 512 divisors, whose sum is σ = 3495744000. Its totient is φ = 204374016.

The previous prime is 921448313. The next prime is 921448327. The reversal of 921448320 is 23844129.

921448320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (921448313) and next prime (921448327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921448327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13752927 + ... + 13752993.

It is an arithmetic number, because the mean of its divisors is an integer number (6827625).

Almost surely, 2^921448320 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 921448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

921448320 is an abundant number, since it is smaller than the sum of its proper divisors (2574295680).

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

921448320 is a wasteful number, since it uses less digits than its factorization.

921448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 921448320 is about 30355.3672354660. The cubic root of 921448320 is about 973.0989281450.

The spelling of 921448320 in words is "nine hundred twenty-one million, four hundred forty-eight thousand, three hundred twenty".