470885800 has 96 divisors (see below), whose sum is σ = 1365001920. Its totient is φ = 146764800.

The previous prime is 470885783. The next prime is 470885801. The reversal of 470885800 is 8588074.

It is a super-3 number, since 3×470885800³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (470885801) 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, 112 + ... + 30688.

It is an arithmetic number, because the mean of its divisors is an integer number (14218770).

Almost surely, 2^470885800 is an apocalyptic number.

470885800 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 470885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682500960).

470885800 is an abundant number, since it is smaller than the sum of its proper divisors (894116120).

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

470885800 is a wasteful number, since it uses less digits than its factorization.

470885800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30611 (or 30602 counting only the distinct ones).

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

The square root of 470885800 is about 21699.9032255907. The cubic root of 470885800 is about 777.9861484043.

The spelling of 470885800 in words is "four hundred seventy million, eight hundred eighty-five thousand, eight hundred".