477520 has 40 divisors (see below), whose sum is σ = 1142784. Its totient is φ = 185472.

The previous prime is 477517. The next prime is 477523. The reversal of 477520 is 25774.

It is an interprime number because it is at equal distance from previous prime (477517) and next prime (477523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477523) 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, 3697 + ... + 3823.

2⁴⁷⁷⁵²⁰ is an apocalyptic number.

477520 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 477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392).

477520 is an abundant number, since it is smaller than the sum of its proper divisors (665264).

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

477520 is a wasteful number, since it uses less digits than its factorization.

477520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 477520 is about 691.0282193948. The cubic root of 477520 is about 78.1622744797.

The spelling of 477520 in words is "four hundred seventy-seven thousand, five hundred twenty".