473776128 has 360 divisors, whose sum is σ = 1717515072. Its totient is φ = 127401984.

The previous prime is 473776123. The next prime is 473776129. The reversal of 473776128 is 821677374.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473776123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27869176 + ... + 27869192.

Almost surely, 2^473776128 is an apocalyptic number.

473776128 is a gapful number since it is divisible by the number (48) 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 473776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858757536).

473776128 is an abundant number, since it is smaller than the sum of its proper divisors (1243738944).

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

473776128 is an frugal number, since it uses more digits than its factorization.

473776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 473776128 is about 21766.3990591002. The cubic root of 473776128 is about 779.5746793647.

The spelling of 473776128 in words is "four hundred seventy-three million, seven hundred seventy-six thousand, one hundred twenty-eight".