471404800 has 108 divisors (see below), whose sum is σ = 1183956340. Its totient is φ = 185794560.

The previous prime is 471404797. The next prime is 471404809. The reversal of 471404800 is 8404174.

It can be written as a sum of positive squares in 6 ways, for example, as 19927296 + 451477504 = 4464^2 + 21248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471404809) 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, 466696 + ... + 467704.

Almost surely, 2^471404800 is an apocalyptic number.

471404800 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 471404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591978170).

471404800 is an abundant number, since it is smaller than the sum of its proper divisors (712551540).

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

471404800 is a wasteful number, since it uses less digits than its factorization.

471404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 471404800 is about 21711.8585109612. The cubic root of 471404800 is about 778.2718698806.

Adding to 471404800 its reverse (8404174), we get a palindrome (479808974).

The spelling of 471404800 in words is "four hundred seventy-one million, four hundred four thousand, eight hundred".