477720 has 48 divisors (see below), whose sum is σ = 1553760. Its totient is φ = 127296.

The previous prime is 477677. The next prime is 477721. The reversal of 477720 is 27774.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477721) by changing a digit.

477720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (32370).

2⁴⁷⁷⁷²⁰ is an apocalyptic number.

477720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477720 is an abundant number, since it is smaller than the sum of its proper divisors (1076040).

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

477720 is a wasteful number, since it uses less digits than its factorization.

477720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 477720 is about 691.1729161360. The cubic root of 477720 is about 78.1731852080.

The spelling of 477720 in words is "four hundred seventy-seven thousand, seven hundred twenty", and thus it is an iban number.