475280 has 40 divisors (see below), whose sum is σ = 1192632. Its totient is φ = 175104.

The previous prime is 475273. The next prime is 475283. The reversal of 475280 is 82574.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 425104 = 224^2 + 652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (475283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812 + ... + 1268.

2⁴⁷⁵²⁸⁰ is an apocalyptic number.

475280 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 475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596316).

475280 is an abundant number, since it is smaller than the sum of its proper divisors (717352).

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

475280 is a wasteful number, since it uses less digits than its factorization.

475280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 475280 is about 689.4055410279. The cubic root of 475280 is about 78.0398656611.

It can be divided in two parts, 47 and 5280, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 475280 in words is "four hundred seventy-five thousand, two hundred eighty".