473845760 has 104 divisors (see below), whose sum is σ = 1204863336. Its totient is φ = 178257920.

The previous prime is 473845759. The next prime is 473845831. The reversal of 473845760 is 67548374.

It can be written as a sum of positive squares in 4 ways, for example, as 38539264 + 435306496 = 6208^2 + 20864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347480 + ... + 348840.

Almost surely, 2^473845760 is an apocalyptic number.

473845760 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 473845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602431668).

473845760 is an abundant number, since it is smaller than the sum of its proper divisors (731017576).

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

473845760 is a wasteful number, since it uses less digits than its factorization.

473845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 473845760 is about 21767.9985299522. The cubic root of 473845760 is about 779.6128694730.

The spelling of 473845760 in words is "four hundred seventy-three million, eight hundred forty-five thousand, seven hundred sixty".