484209984 has 224 divisors, whose sum is σ = 1463040000. Its totient is φ = 140507136.

The previous prime is 484209941. The next prime is 484210037. The reversal of 484209984 is 489902484.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433117 + ... + 2433315.

Almost surely, 2^484209984 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 484209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520000).

484209984 is an abundant number, since it is smaller than the sum of its proper divisors (978830016).

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

484209984 is a wasteful number, since it uses less digits than its factorization.

484209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 484209984 is about 22004.7718461246. The cubic root of 484209984 is about 785.2559696445.

The spelling of 484209984 in words is "four hundred eighty-four million, two hundred nine thousand, nine hundred eighty-four".