471868800 has 384 divisors, whose sum is σ = 1770720000. Its totient is φ = 109486080.

The previous prime is 471868783. The next prime is 471868811. The reversal of 471868800 is 8868174.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2371101 + ... + 2371299.

It is an arithmetic number, because the mean of its divisors is an integer number (4611250).

Almost surely, 2^471868800 is an apocalyptic number.

471868800 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 471868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885360000).

471868800 is an abundant number, since it is smaller than the sum of its proper divisors (1298851200).

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

471868800 is a wasteful number, since it uses less digits than its factorization.

471868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 471868800 is about 21722.5412877960. The cubic root of 471868800 is about 778.5271350868.

The spelling of 471868800 in words is "four hundred seventy-one million, eight hundred sixty-eight thousand, eight hundred".