472661760 has 144 divisors (see below), whose sum is σ = 1528781184. Its totient is φ = 124440576.

The previous prime is 472661741. The next prime is 472661837. The reversal of 472661760 is 67166274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317979 + ... + 319461.

It is an arithmetic number, because the mean of its divisors is an integer number (10616536).

Almost surely, 2^472661760 is an apocalyptic number.

472661760 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 472661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764390592).

472661760 is an abundant number, since it is smaller than the sum of its proper divisors (1056119424).

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

472661760 is a wasteful number, since it uses less digits than its factorization.

472661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 472661760 is about 21740.7856343785. The cubic root of 472661760 is about 778.9629874484.

The spelling of 472661760 in words is "four hundred seventy-two million, six hundred sixty-one thousand, seven hundred sixty".