477960 has 64 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 109056.

The previous prime is 477947. The next prime is 477973. The reversal of 477960 is 69774.

It is an interprime number because it is at equal distance from previous prime (477947) and next prime (477973).

It is a congruent number.

It is an unprimeable number.

477960 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, 556 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2⁴⁷⁷⁹⁶⁰ is an apocalyptic number.

477960 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 477960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

477960 is an abundant number, since it is smaller than the sum of its proper divisors (1163640).

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

477960 is a wasteful number, since it uses less digits than its factorization.

477960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 477960 is about 691.3465122498. The cubic root of 477960 is about 78.1862740630.

The spelling of 477960 in words is "four hundred seventy-seven thousand, nine hundred sixty".