473724160 has 288 divisors, whose sum is σ = 1442246400. Its totient is φ = 148119552.

The previous prime is 473724133. The next prime is 473724179. The reversal of 473724160 is 61427374.

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, 5707479 + ... + 5707561.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^473724160 is an apocalyptic number.

473724160 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 473724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721123200).

473724160 is an abundant number, since it is smaller than the sum of its proper divisors (968522240).

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

473724160 is an equidigital number, since it uses as much as digits as its factorization.

473724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 473724160 is about 21765.2052597718. The cubic root of 473724160 is about 779.5461747498.

The spelling of 473724160 in words is "four hundred seventy-three million, seven hundred twenty-four thousand, one hundred sixty".