473968128 has 40 divisors (see below), whose sum is σ = 1262684808. Its totient is φ = 157988864.

The previous prime is 473968123. The next prime is 473968133. The reversal of 473968128 is 821869374.

It is an interprime number because it is at equal distance from previous prime (473968123) and next prime (473968133).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473968123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152751 + ... + 155822.

Almost surely, 2^473968128 is an apocalyptic number.

473968128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

473968128 is an abundant number, since it is smaller than the sum of its proper divisors (788716680).

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

473968128 is an equidigital number, since it uses as much as digits as its factorization.

473968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308594 (or 308578 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 473968128 is about 21770.8090800503. The cubic root of 473968128 is about 779.6799739084.

The spelling of 473968128 in words is "four hundred seventy-three million, nine hundred sixty-eight thousand, one hundred twenty-eight".