471428160 has 336 divisors, whose sum is σ = 1791785088. Its totient is φ = 102850560.

The previous prime is 471428119. The next prime is 471428257. The reversal of 471428160 is 61824174.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 6457884 + ... + 6457956.

Almost surely, 2^471428160 is an apocalyptic number.

471428160 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 471428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895892544).

471428160 is an abundant number, since it is smaller than the sum of its proper divisors (1320356928).

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

471428160 is a wasteful number, since it uses less digits than its factorization.

471428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 471428160 is about 21712.3964591659. The cubic root of 471428160 is about 778.2847251666.

The spelling of 471428160 in words is "four hundred seventy-one million, four hundred twenty-eight thousand, one hundred sixty".