980263200 has 576 divisors, whose sum is σ = 3989744640. Its totient is φ = 204042240.

The previous prime is 980263187. The next prime is 980263223. The reversal of 980263200 is 2362089.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11810359 + ... + 11810441.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2^980263200 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 980263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

980263200 is an abundant number, since it is smaller than the sum of its proper divisors (3009481440).

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

980263200 is a wasteful number, since it uses less digits than its factorization.

980263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 980263200 is about 31309.1552105770. The cubic root of 980263200 is about 993.3773033802.

The spelling of 980263200 in words is "nine hundred eighty million, two hundred sixty-three thousand, two hundred".