471144960 has 540 divisors, whose sum is σ = 1942106166. Its totient is φ = 105431040.

The previous prime is 471144943. The next prime is 471144977. The reversal of 471144960 is 69441174.

It is an interprime number because it is at equal distance from previous prime (471144943) and next prime (471144977).

It can be written as a sum of positive squares in 3 ways, for example, as 203233536 + 267911424 = 14256^2 + 16368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 36241914 + ... + 36241926.

Almost surely, 2^471144960 is an apocalyptic number.

471144960 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 471144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971053083).

471144960 is an abundant number, since it is smaller than the sum of its proper divisors (1470961206).

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

471144960 is a wasteful number, since it uses less digits than its factorization.

471144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 471144960 is about 21705.8738593958. The cubic root of 471144960 is about 778.1288481931.

The spelling of 471144960 in words is "four hundred seventy-one million, one hundred forty-four thousand, nine hundred sixty".