470900 has 36 divisors (see below), whose sum is σ = 1085868. Its totient is φ = 176640.

The previous prime is 470891. The next prime is 470903. The reversal of 470900 is 9074.

It can be written as a sum of positive squares in 6 ways, for example, as 13924 + 456976 = 118^2 + 676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470900.

It is not an unprimeable number, because it can be changed into a prime (470903) 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, 1562 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (30163).

2⁴⁷⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542934).

470900 is an abundant number, since it is smaller than the sum of its proper divisors (614968).

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

470900 is a wasteful number, since it uses less digits than its factorization.

470900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 470900 is about 686.2215385719. The cubic root of 470900 is about 77.7993968625.

Adding to 470900 its reverse (9074), we get a palindrome (479974).

The spelling of 470900 in words is "four hundred seventy thousand, nine hundred".