986480352 has 288 divisors, whose sum is σ = 3492084960. Its totient is φ = 259522560.

The previous prime is 986480333. The next prime is 986480353. The reversal of 986480352 is 253084689.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 986480298 and 986480307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986480353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699424 + ... + 700832.

It is an arithmetic number, because the mean of its divisors is an integer number (12125295).

Almost surely, 2^986480352 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 986480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746042480).

986480352 is an abundant number, since it is smaller than the sum of its proper divisors (2505604608).

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

986480352 is a wasteful number, since it uses less digits than its factorization.

986480352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 986480352 is about 31408.2847669210. The cubic root of 986480352 is about 995.4729877521.

The spelling of 986480352 in words is "nine hundred eighty-six million, four hundred eighty thousand, three hundred fifty-two".