473889920 has 128 divisors (see below), whose sum is σ = 1305763200. Its totient is φ = 161095680.

The previous prime is 473889883. The next prime is 473889937. The reversal of 473889920 is 29988374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 622340 + ... + 623100.

It is an arithmetic number, because the mean of its divisors is an integer number (10201275).

Almost surely, 2^473889920 is an apocalyptic number.

473889920 is a gapful number since it is divisible by the number (40) 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 473889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652881600).

473889920 is an abundant number, since it is smaller than the sum of its proper divisors (831873280).

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

473889920 is a wasteful number, since it uses less digits than its factorization.

473889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 473889920 is about 21769.0128393549. The cubic root of 473889920 is about 779.6370873640.

The spelling of 473889920 in words is "four hundred seventy-three million, eight hundred eighty-nine thousand, nine hundred twenty".