471338880 has 128 divisors (see below), whose sum is σ = 1551052800. Its totient is φ = 121620480.

The previous prime is 471338873. The next prime is 471338891. The reversal of 471338880 is 88833174.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

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, 55561 + ... + 63479.

It is an arithmetic number, because the mean of its divisors is an integer number (12117600).

Almost surely, 2^471338880 is an apocalyptic number.

471338880 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 471338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775526400).

471338880 is an abundant number, since it is smaller than the sum of its proper divisors (1079713920).

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

471338880 is a wasteful number, since it uses less digits than its factorization.

471338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7972 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 471338880 is about 21710.3403934623. The cubic root of 471338880 is about 778.2355910298.

The spelling of 471338880 in words is "four hundred seventy-one million, three hundred thirty-eight thousand, eight hundred eighty".