471735312 has 80 divisors (see below), whose sum is σ = 1293756480. Its totient is φ = 147603456.

The previous prime is 471735269. The next prime is 471735349. The reversal of 471735312 is 213537174.

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, 548739 + ... + 549597.

It is an arithmetic number, because the mean of its divisors is an integer number (16171956).

Almost surely, 2^471735312 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 471735312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646878240).

471735312 is an abundant number, since it is smaller than the sum of its proper divisors (822021168).

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

471735312 is a wasteful number, since it uses less digits than its factorization.

471735312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 471735312 is about 21719.4685017843. The cubic root of 471735312 is about 778.4537150800.

The spelling of 471735312 in words is "four hundred seventy-one million, seven hundred thirty-five thousand, three hundred twelve".