470927160 has 288 divisors, whose sum is σ = 1773954000. Its totient is φ = 107965440.

The previous prime is 470927147. The next prime is 470927209. The reversal of 470927160 is 61729074.

It is a happy number.

470927160 is a `hidden beast` number, since 470 + 9 + 27 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 827356 + ... + 827924.

Almost surely, 2^470927160 is an apocalyptic number.

470927160 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 470927160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886977000).

470927160 is an abundant number, since it is smaller than the sum of its proper divisors (1303026840).

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

470927160 is a wasteful number, since it uses less digits than its factorization.

470927160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 470927160 is about 21700.8562043068. The cubic root of 470927160 is about 778.0089257352.

The spelling of 470927160 in words is "four hundred seventy million, nine hundred twenty-seven thousand, one hundred sixty".