471446880 has 96 divisors (see below), whose sum is σ = 1491890400. Its totient is φ = 125140992.

The previous prime is 471446879. The next prime is 471446903. The reversal of 471446880 is 88644174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107776 + ... + 112064.

It is an arithmetic number, because the mean of its divisors is an integer number (15540525).

Almost surely, 2^471446880 is an apocalyptic number.

471446880 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 471446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745945200).

471446880 is an abundant number, since it is smaller than the sum of its proper divisors (1020443520).

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

471446880 is a wasteful number, since it uses less digits than its factorization.

471446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 471446880 is about 21712.8275450251. The cubic root of 471446880 is about 778.2950266989.

The spelling of 471446880 in words is "four hundred seventy-one million, four hundred forty-six thousand, eight hundred eighty".