473848320 has 320 divisors, whose sum is σ = 1697034240. Its totient is φ = 111820800.

The previous prime is 473848283. The next prime is 473848343. The reversal of 473848320 is 23848374.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×473848320³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998041 + ... + 5998119.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2^473848320 is an apocalyptic number.

473848320 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 473848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

473848320 is an abundant number, since it is smaller than the sum of its proper divisors (1223185920).

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

473848320 is a wasteful number, since it uses less digits than its factorization.

473848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 473848320 is about 21768.0573317878. The cubic root of 473848320 is about 779.6142734498.

The spelling of 473848320 in words is "four hundred seventy-three million, eight hundred forty-eight thousand, three hundred twenty".