470424080 has 160 divisors (see below), whose sum is σ = 1312416000. Its totient is φ = 153409536.

The previous prime is 470424079. The next prime is 470424089. The reversal of 470424080 is 80424074.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (470424089) 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, 1347746 + ... + 1348094.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^470424080 is an apocalyptic number.

470424080 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 470424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208000).

470424080 is an abundant number, since it is smaller than the sum of its proper divisors (841991920).

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

470424080 is a wasteful number, since it uses less digits than its factorization.

470424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 470424080 is about 21689.2618592704. The cubic root of 470424080 is about 777.7317843702.

The spelling of 470424080 in words is "four hundred seventy million, four hundred twenty-four thousand, eighty".