471859200 has 198 divisors, whose sum is σ = 1690304109. Its totient is φ = 125829120.

The previous prime is 471859181. The next prime is 471859207. The reversal of 471859200 is 2958174.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)² ⋅ (2!)¹⁵.

471859200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 462422016 + 9437184 = 21504^2 + 3072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15360.

It is a super-2 number, since 2×471859200² = 445302209249280000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (471859207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94371838 + ... + 94371842.

Almost surely, 2^471859200 is an apocalyptic number.

471859200 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 471859200

471859200 is an abundant number, since it is smaller than the sum of its proper divisors (1218444909).

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

471859200 is an frugal number, since it uses more digits than its factorization.

471859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 471859200 is about 21722.3203180507. The cubic root of 471859200 is about 778.5218554334.

The spelling of 471859200 in words is "four hundred seventy-one million, eight hundred fifty-nine thousand, two hundred".