470735328 has 48 divisors (see below), whose sum is σ = 1412208000. Its totient is φ = 134495616.

The previous prime is 470735327. The next prime is 470735333. The reversal of 470735328 is 823537074.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×470735328³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470735323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349578 + ... + 350921.

It is an arithmetic number, because the mean of its divisors is an integer number (29421000).

Almost surely, 2^470735328 is an apocalyptic number.

470735328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

470735328 is an abundant number, since it is smaller than the sum of its proper divisors (941472672).

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

470735328 is a wasteful number, since it uses less digits than its factorization.

470735328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700519 (or 700511 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 470735328 is about 21696.4358363304. The cubic root of 470735328 is about 777.9032708408.

The spelling of 470735328 in words is "four hundred seventy million, seven hundred thirty-five thousand, three hundred twenty-eight".