477540 has 72 divisors (see below), whose sum is σ = 1659840. Its totient is φ = 108864.

The previous prime is 477539. The next prime is 477551. The reversal of 477540 is 45774.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477540.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071 + ... + 1449.

2⁴⁷⁷⁵⁴⁰ 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 477540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829920).

477540 is an abundant number, since it is smaller than the sum of its proper divisors (1182300).

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

477540 is a wasteful number, since it uses less digits than its factorization.

477540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 477540 is about 691.0426904324. The cubic root of 477540 is about 78.1633656896.

The spelling of 477540 in words is "four hundred seventy-seven thousand, five hundred forty".