470734080 has 144 divisors (see below), whose sum is σ = 1592063424. Its totient is φ = 118128640.

The previous prime is 470734067. The next prime is 470734109. The reversal of 470734080 is 80437074.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61675 + ... + 68885.

It is an arithmetic number, because the mean of its divisors is an integer number (11055996).

Almost surely, 2^470734080 is an apocalyptic number.

470734080 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 470734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796031712).

470734080 is an abundant number, since it is smaller than the sum of its proper divisors (1121329344).

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

470734080 is a wasteful number, since it uses less digits than its factorization.

470734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 470734080 is about 21696.4070758271. The cubic root of 470734080 is about 777.9025833886.

The spelling of 470734080 in words is "four hundred seventy million, seven hundred thirty-four thousand, eighty".