471432960 has 180 divisors, whose sum is σ = 1687244328. Its totient is φ = 125687808.

The previous prime is 471432937. The next prime is 471432977. The reversal of 471432960 is 69234174.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 101407 + ... + 105953.

Almost surely, 2^471432960 is an apocalyptic number.

471432960 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 471432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843622164).

471432960 is an abundant number, since it is smaller than the sum of its proper divisors (1215811368).

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

471432960 is an equidigital number, since it uses as much as digits as its factorization.

471432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 471432960 is about 21712.5069948175. The cubic root of 471432960 is about 778.2873666111.

The spelling of 471432960 in words is "four hundred seventy-one million, four hundred thirty-two thousand, nine hundred sixty".