920448320 has 112 divisors (see below), whose sum is σ = 2414016000. Its totient is φ = 331499520.

The previous prime is 920448307. The next prime is 920448343. The reversal of 920448320 is 23844029.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382481 + ... + 384879.

Almost surely, 2^920448320 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 920448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207008000).

920448320 is an abundant number, since it is smaller than the sum of its proper divisors (1493567680).

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

920448320 is a wasteful number, since it uses less digits than its factorization.

920448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 920448320 is about 30338.8912124356. The cubic root of 920448320 is about 972.7467828185.

The spelling of 920448320 in words is "nine hundred twenty million, four hundred forty-eight thousand, three hundred twenty".