245085984 has 216 divisors, whose sum is σ = 826538076. Its totient is φ = 68428800.

The previous prime is 245085979. The next prime is 245086007. The reversal of 245085984 is 489580542.

245085984 is a `hidden beast` number, since 2 + 4 + 50 + 8 + 598 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230432400 + 14653584 = 15180^2 + 3828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452754 + ... + 453294.

Almost surely, 2^245085984 is an apocalyptic number.

245085984 is a gapful number since it is divisible by the number (24) 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 245085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413269038).

245085984 is an abundant number, since it is smaller than the sum of its proper divisors (581452092).

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

245085984 is a wasteful number, since it uses less digits than its factorization.

245085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 245085984 is about 15655.2222596806. Note that the first 4 decimals coincide. The cubic root of 245085984 is about 625.8056673406.

The spelling of 245085984 in words is "two hundred forty-five million, eighty-five thousand, nine hundred eighty-four".