489924864 has 216 divisors, whose sum is σ = 1660643712. Its totient is φ = 136949760.

The previous prime is 489924829. The next prime is 489924901. The reversal of 489924864 is 468429984.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 489924864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328729 + ... + 330215.

Almost surely, 2^489924864 is an apocalyptic number.

489924864 is a gapful number since it is divisible by the number (44) 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 489924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830321856).

489924864 is an abundant number, since it is smaller than the sum of its proper divisors (1170718848).

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

489924864 is a wasteful number, since it uses less digits than its factorization.

489924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1516 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 489924864 is about 22134.2464068692. The cubic root of 489924864 is about 788.3332181742. Note that the first 3 decimals are identical.

Adding to 489924864 its product of digits (3981312), we get a square (493906176 = 22224²).

The spelling of 489924864 in words is "four hundred eighty-nine million, nine hundred twenty-four thousand, eight hundred sixty-four".