477257 has 8 divisors (see below), whose sum is σ = 533280. Its totient is φ = 423360.

The previous prime is 477229. The next prime is 477259. The reversal of 477257 is 752774.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 477257 - 2¹⁰ = 476233 is a prime.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477257.

It is not an unprimeable number, because it can be changed into a prime (477259) 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, 32 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (66660).

2⁴⁷⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

477257 is a deficient number, since it is larger than the sum of its proper divisors (56023).

477257 is a wasteful number, since it uses less digits than its factorization.

477257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063.

The product of its digits is 13720, while the sum is 32.

The square root of 477257 is about 690.8378970497. The cubic root of 477257 is about 78.1479222339.

The spelling of 477257 in words is "four hundred seventy-seven thousand, two hundred fifty-seven".