475488 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 145152.

The previous prime is 475483. The next prime is 475511. The reversal of 475488 is 884574.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475483) by changing a digit.

475488 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 11 ways as a sum of consecutive naturals, for example, 3681 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2⁴⁷⁵⁴⁸⁸ is an apocalyptic number.

475488 is a gapful number since it is divisible by the number (48) 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 475488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

475488 is an abundant number, since it is smaller than the sum of its proper divisors (992160).

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

475488 is a wasteful number, since it uses less digits than its factorization.

475488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 475488 is about 689.5563791308. The cubic root of 475488 is about 78.0512483722.

The spelling of 475488 in words is "four hundred seventy-five thousand, four hundred eighty-eight".