477984 has 48 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 146688.

The previous prime is 477977. The next prime is 477991. The reversal of 477984 is 489774.

It is an interprime number because it is at equal distance from previous prime (477977) and next prime (477991).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477984.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁴⁷⁷⁹⁸⁴ 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 477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

477984 is an abundant number, since it is smaller than the sum of its proper divisors (876768).

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

477984 is a wasteful number, since it uses less digits than its factorization.

477984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 477984 is about 691.3638694638. The cubic root of 477984 is about 78.1875827075.

The spelling of 477984 in words is "four hundred seventy-seven thousand, nine hundred eighty-four".