470588800 has 192 divisors, whose sum is σ = 1314759600. Its totient is φ = 164864000.

The previous prime is 470588791. The next prime is 470588801. The reversal of 470588800 is 8885074.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470588801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020570 + ... + 1021030.

Almost surely, 2^470588800 is an apocalyptic number.

470588800 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 470588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657379800).

470588800 is an abundant number, since it is smaller than the sum of its proper divisors (844170800).

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

470588800 is a wasteful number, since it uses less digits than its factorization.

470588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 470588800 is about 21693.0587976892. The cubic root of 470588800 is about 777.8225485944.

The spelling of 470588800 in words is "four hundred seventy million, five hundred eighty-eight thousand, eight hundred".