477609 has 16 divisors (see below), whose sum is σ = 713664. Its totient is φ = 281600.

The previous prime is 477593. The next prime is 477619. The reversal of 477609 is 906774.

It is not a de Polignac number, because 477609 - 2⁴ = 477593 is a prime.

It is a super-2 number, since 2×477609² = 456220713762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 477609.

It is not an unprimeable number, because it can be changed into a prime (477619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (44604).

2⁴⁷⁷⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

477609 is a deficient number, since it is larger than the sum of its proper divisors (236055).

477609 is a wasteful number, since it uses less digits than its factorization.

477609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 477609 is about 691.0926131858. The cubic root of 477609 is about 78.1671301299.

The spelling of 477609 in words is "four hundred seventy-seven thousand, six hundred nine".