489769600 has 96 divisors (see below), whose sum is σ = 1239725340. Its totient is φ = 191078400.

The previous prime is 489769583. The next prime is 489769619. The reversal of 489769600 is 6967984.

It can be written as a sum of positive squares in 6 ways, for example, as 69355584 + 420414016 = 8328^2 + 20504^2 .

It is a super-2 number, since 2×489769600² = 479748522168320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129334 + ... + 133066.

Almost surely, 2^489769600 is an apocalyptic number.

489769600 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 489769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619862670).

489769600 is an abundant number, since it is smaller than the sum of its proper divisors (749955740).

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

489769600 is a wasteful number, since it uses less digits than its factorization.

489769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 489769600 is about 22130.7388037544. The cubic root of 489769600 is about 788.2499314567.

The spelling of 489769600 in words is "four hundred eighty-nine million, seven hundred sixty-nine thousand, six hundred".