470333800 has 48 divisors (see below), whose sum is σ = 1098328140. Its totient is φ = 187307520.

The previous prime is 470333791. The next prime is 470333807. The reversal of 470333800 is 8333074.

It can be written as a sum of positive squares in 6 ways, for example, as 103917636 + 366416164 = 10194^2 + 19142^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (470333807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41554 + ... + 51646.

Almost surely, 2^470333800 is an apocalyptic number.

470333800 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 470333800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549164070).

470333800 is an abundant number, since it is smaller than the sum of its proper divisors (627994340).

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

470333800 is a wasteful number, since it uses less digits than its factorization.

470333800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 470333800 is about 21687.1805451977. The cubic root of 470333800 is about 777.6820291808.

Adding to 470333800 its reverse (8333074), we get a palindrome (478666874).

It can be divided in two parts, 4703 and 33800, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 470333800 in words is "four hundred seventy million, three hundred thirty-three thousand, eight hundred".