475464 has 32 divisors (see below), whose sum is σ = 1297440. Its totient is φ = 144000.

The previous prime is 475457. The next prime is 475469. The reversal of 475464 is 464574.

475464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475464.

It is not an unprimeable number, because it can be changed into a prime (475469) by changing a digit.

475464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (40545).

2⁴⁷⁵⁴⁶⁴ is an apocalyptic number.

475464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

475464 is an abundant number, since it is smaller than the sum of its proper divisors (821976).

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

475464 is a wasteful number, since it uses less digits than its factorization.

475464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1817 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 475464 is about 689.5389764183. The cubic root of 475464 is about 78.0499351519.

It can be divided in two parts, 475 and 464, that added together give a palindrome (939).

The spelling of 475464 in words is "four hundred seventy-five thousand, four hundred sixty-four".