477440 has 36 divisors (see below), whose sum is σ = 1146684. Its totient is φ = 190464.

The previous prime is 477439. The next prime is 477461. The reversal of 477440 is 44774.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 262144 = 464^2 + 512^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1094 + ... + 1466.

2⁴⁷⁷⁴⁴⁰ is an apocalyptic number.

477440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573342).

477440 is an abundant number, since it is smaller than the sum of its proper divisors (669244).

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

477440 is an equidigital number, since it uses as much as digits as its factorization.

477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 477440 is about 690.9703322141. The cubic root of 477440 is about 78.1579093353.

The spelling of 477440 in words is "four hundred seventy-seven thousand, four hundred forty", and thus it is an iban number.