920424480 has 96 divisors (see below), whose sum is σ = 2927643264. Its totient is φ = 243050496.

The previous prime is 920424473. The next prime is 920424481. The reversal of 920424480 is 84424029.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (920424481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40132 + ... + 58748.

It is an arithmetic number, because the mean of its divisors is an integer number (30496284).

Almost surely, 2^920424480 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 920424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463821632).

920424480 is an abundant number, since it is smaller than the sum of its proper divisors (2007218784).

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

920424480 is a wasteful number, since it uses less digits than its factorization.

920424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18738 (or 18730 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 920424480 is about 30338.4983148474. The cubic root of 920424480 is about 972.7383845619.

The spelling of 920424480 in words is "nine hundred twenty million, four hundred twenty-four thousand, four hundred eighty".