489137979456 has 567 divisors, whose sum is σ = 1714392296253. Its totient is φ = 132938910720.

The previous prime is 489137979443. The next prime is 489137979497. The reversal of 489137979456 is 654979731984.

The square root of 489137979456 is 699384.

It is a perfect power (a square), and thus also a powerful number.

489137979456 is a `hidden beast` number, since 4 + 89 + 1 + 3 + 7 + 97 + 9 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5389909056 + 483748070400 = 73416^2 + 695520^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (411505920) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2702419686 + ... + 2702419866.

Almost surely, 2^489137979456 is an apocalyptic number.

489137979456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

489137979456 is the 699384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489137979456

489137979456 is an abundant number, since it is smaller than the sum of its proper divisors (1225254316797).

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

489137979456 is a wasteful number, since it uses less digits than its factorization.

489137979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 216 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 489137979456 in words is "four hundred eighty-nine billion, one hundred thirty-seven million, nine hundred seventy-nine thousand, four hundred fifty-six".