477280 has 48 divisors (see below), whose sum is σ = 1194480. Its totient is φ = 179712.

The previous prime is 477277. The next prime is 477293. The reversal of 477280 is 82774.

It is a congruent number.

It is an unprimeable 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, 2962 + ... + 3118.

It is an arithmetic number, because the mean of its divisors is an integer number (24885).

2⁴⁷⁷²⁸⁰ is an apocalyptic number.

477280 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 477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597240).

477280 is an abundant number, since it is smaller than the sum of its proper divisors (717200).

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

477280 is a wasteful number, since it uses less digits than its factorization.

477280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 477280 is about 690.8545433013. The cubic root of 477280 is about 78.1491775836.

It can be divided in two parts, 477 and 280, that added together give a palindrome (757).

The spelling of 477280 in words is "four hundred seventy-seven thousand, two hundred eighty".