245481984 has 240 divisors, whose sum is σ = 804323520. Its totient is φ = 71393280.

The previous prime is 245481979. The next prime is 245482009. The reversal of 245481984 is 489184542.

245481984 is a `hidden beast` number, since 2 + 454 + 8 + 198 + 4 = 666.

It is a super-2 number, since 2×245481984² = 120522808937152512, which contains 22 as substring.

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, 1469869 + ... + 1470035.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^245481984 is an apocalyptic number.

245481984 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 245481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

245481984 is an abundant number, since it is smaller than the sum of its proper divisors (558841536).

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

245481984 is a wasteful number, since it uses less digits than its factorization.

245481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 245481984 is about 15667.8646917823. The cubic root of 245481984 is about 626.1425364507.

The spelling of 245481984 in words is "two hundred forty-five million, four hundred eighty-one thousand, nine hundred eighty-four".