477088 has 24 divisors (see below), whose sum is σ = 995652. Its totient is φ = 224256.

The previous prime is 477077. The next prime is 477091. The reversal of 477088 is 880774.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 51984 = 652^2 + 228^2 .

It is a super-2 number, since 2×477088² = 455225919488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

477088 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 3 ways as a sum of consecutive naturals, for example, 106 + ... + 982.

2⁴⁷⁷⁰⁸⁸ 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 477088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497826).

477088 is an abundant number, since it is smaller than the sum of its proper divisors (518564).

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

477088 is a wasteful number, since it uses less digits than its factorization.

477088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 477088 is about 690.7155709842. The cubic root of 477088 is about 78.1386969052.

The spelling of 477088 in words is "four hundred seventy-seven thousand, eighty-eight".