477480 has 64 divisors (see below), whose sum is σ = 1503360. Its totient is φ = 121088.

The previous prime is 477469. The next prime is 477497. The reversal of 477480 is 84774.

It is a Cunningham number, because it is equal to 691²-1.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

477480 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 15 ways as a sum of consecutive naturals, for example, 2674 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (23490).

2⁴⁷⁷⁴⁸⁰ is an apocalyptic number.

477480 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 477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751680).

477480 is an abundant number, since it is smaller than the sum of its proper divisors (1025880).

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

477480 is a wasteful number, since it uses less digits than its factorization.

477480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 477480 is about 690.9992764106. Note that the first 3 decimals coincide. The cubic root of 477480 is about 78.1600919685.

The spelling of 477480 in words is "four hundred seventy-seven thousand, four hundred eighty".