985414248 has 320 divisors, whose sum is σ = 3600495360. Its totient is φ = 244353024.

The previous prime is 985414247. The next prime is 985414289. The reversal of 985414248 is 842414589.

It is a super-2 number, since 2×985414248² = 1942082480322811008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (985414247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1001965 + ... + 1002947.

It is an arithmetic number, because the mean of its divisors is an integer number (11251548).

Almost surely, 2^985414248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985414248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800247680).

985414248 is an abundant number, since it is smaller than the sum of its proper divisors (2615081112).

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

985414248 is a wasteful number, since it uses less digits than its factorization.

985414248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

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

The square root of 985414248 is about 31391.3084786219. The cubic root of 985414248 is about 995.1142509985.

The spelling of 985414248 in words is "nine hundred eighty-five million, four hundred fourteen thousand, two hundred forty-eight".