986262480 has 400 divisors, whose sum is σ = 4148305920. Its totient is φ = 212004864.

The previous prime is 986262461. The next prime is 986262493. The reversal of 986262480 is 84262689.

986262480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770481 + ... + 771759.

Almost surely, 2^986262480 is an apocalyptic number.

986262480 is a gapful number since it is divisible by the number (90) 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 986262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074152960).

986262480 is an abundant number, since it is smaller than the sum of its proper divisors (3162043440).

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

986262480 is a wasteful number, since it uses less digits than its factorization.

986262480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 986262480 is about 31404.8161911513. The cubic root of 986262480 is about 995.3996963245.

The spelling of 986262480 in words is "nine hundred eighty-six million, two hundred sixty-two thousand, four hundred eighty".