475520 has 32 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 189952.

The previous prime is 475511. The next prime is 475523. The reversal of 475520 is 25574.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×475520² = 452238540800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475523) by changing a digit.

475520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 1011.

2⁴⁷⁵⁵²⁰ is an apocalyptic number.

475520 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 475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

475520 is an abundant number, since it is smaller than the sum of its proper divisors (662800).

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

475520 is an equidigital number, since it uses as much as digits as its factorization.

475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 475520 is about 689.5795820643. The cubic root of 475520 is about 78.0529992638.

The spelling of 475520 in words is "four hundred seventy-five thousand, five hundred twenty".