472805760 has 256 divisors, whose sum is σ = 1742192640. Its totient is φ = 106831872.

The previous prime is 472805737. The next prime is 472805761. The reversal of 472805760 is 67508274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472805761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706742 + ... + 1707018.

It is an arithmetic number, because the mean of its divisors is an integer number (6805440).

Almost surely, 2^472805760 is an apocalyptic number.

472805760 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 472805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871096320).

472805760 is an abundant number, since it is smaller than the sum of its proper divisors (1269386880).

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

472805760 is a wasteful number, since it uses less digits than its factorization.

472805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 472805760 is about 21744.0971300259. The cubic root of 472805760 is about 779.0420850825.

The spelling of 472805760 in words is "four hundred seventy-two million, eight hundred five thousand, seven hundred sixty".