475380 has 72 divisors (see below), whose sum is σ = 1528800. Its totient is φ = 119232.

The previous prime is 475379. The next prime is 475381. The reversal of 475380 is 83574.

It is an interprime number because it is at equal distance from previous prime (475379) and next prime (475381).

It is a super-2 number, since 2×475380² = 451972288800, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3351 + ... + 3489.

475380 is a Friedman number, since it can be written as 8340*57, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 570 ⋅ 834 (with its own digits).

2⁴⁷⁵³⁸⁰ 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 475380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764400).

475380 is an abundant number, since it is smaller than the sum of its proper divisors (1053420).

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

475380 is a wasteful number, since it uses less digits than its factorization.

475380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 475380 is about 689.4780634654. The cubic root of 475380 is about 78.0453385328.

The spelling of 475380 in words is "four hundred seventy-five thousand, three hundred eighty".