478617984 has 320 divisors, whose sum is σ = 1586193840. Its totient is φ = 142331904.

The previous prime is 478617973. The next prime is 478617991. The reversal of 478617984 is 489716874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 478617984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7143519 + ... + 7143585.

Almost surely, 2^478617984 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 478617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793096920).

478617984 is an abundant number, since it is smaller than the sum of its proper divisors (1107575856).

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

478617984 is a wasteful number, since it uses less digits than its factorization.

478617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 478617984 is about 21877.3395091816. The cubic root of 478617984 is about 782.2213600962.

The spelling of 478617984 in words is "four hundred seventy-eight million, six hundred seventeen thousand, nine hundred eighty-four".