470080032 has 96 divisors (see below), whose sum is σ = 1281982464. Its totient is φ = 150662400.

The previous prime is 470080031. The next prime is 470080033. The reversal of 470080032 is 230080074.

It is an interprime number because it is at equal distance from previous prime (470080031) and next prime (470080033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 470079984 and 470080011.

It is not an unprimeable number, because it can be changed into a prime (470080031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568003 + ... + 568829.

It is an arithmetic number, because the mean of its divisors is an integer number (13353984).

Almost surely, 2^470080032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640991232).

470080032 is an abundant number, since it is smaller than the sum of its proper divisors (811902432).

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

470080032 is a wasteful number, since it uses less digits than its factorization.

470080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 470080032 is about 21681.3291105504. The cubic root of 470080032 is about 777.5421382372.

The spelling of 470080032 in words is "four hundred seventy million, eighty thousand, thirty-two".