471349760 has 160 divisors (see below), whose sum is σ = 1337592960. Its totient is φ = 155860992.

The previous prime is 471349751. The next prime is 471349807. The reversal of 471349760 is 67943174.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519227 + ... + 520133.

It is an arithmetic number, because the mean of its divisors is an integer number (8359956).

Almost surely, 2^471349760 is an apocalyptic number.

471349760 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 471349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668796480).

471349760 is an abundant number, since it is smaller than the sum of its proper divisors (866243200).

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

471349760 is an equidigital number, since it uses as much as digits as its factorization.

471349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 471349760 is about 21710.5909638591. The cubic root of 471349760 is about 778.2415790343.

The spelling of 471349760 in words is "four hundred seventy-one million, three hundred forty-nine thousand, seven hundred sixty".