471168000 has 264 divisors, whose sum is σ = 1702039560. Its totient is φ = 125337600.

The previous prime is 471167987. The next prime is 471168011. The reversal of 471168000 is 861174.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 470716416 = 672^2 + 21696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151796 + ... + 1152204.

Almost surely, 2^471168000 is an apocalyptic number.

471168000 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 471168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851019780).

471168000 is an abundant number, since it is smaller than the sum of its proper divisors (1230871560).

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

471168000 is a wasteful number, since it uses less digits than its factorization.

471168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 471168000 is about 21706.4045848224. The cubic root of 471168000 is about 778.1415320434.

The spelling of 471168000 in words is "four hundred seventy-one million, one hundred sixty-eight thousand".