470851920 has 640 divisors, whose sum is σ = 2142720000. Its totient is φ = 92067840.

The previous prime is 470851891. The next prime is 470851921. The reversal of 470851920 is 29158074.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470851921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3160006 + ... + 3160154.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^470851920 is an apocalyptic number.

470851920 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 470851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

470851920 is an abundant number, since it is smaller than the sum of its proper divisors (1671868080).

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

470851920 is a wasteful number, since it uses less digits than its factorization.

470851920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 470851920 is about 21699.1225629056. The cubic root of 470851920 is about 777.9674893841.

The spelling of 470851920 in words is "four hundred seventy million, eight hundred fifty-one thousand, nine hundred twenty".