980557344 has 288 divisors, whose sum is σ = 3203141760. Its totient is φ = 282230784.

The previous prime is 980557267. The next prime is 980557363. The reversal of 980557344 is 443755089.

980557344 is a `hidden beast` number, since 98 + 0 + 557 + 3 + 4 + 4 = 666.

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

It is a super-2 number, since 2×980557344² = 1922985409744668672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 980557344.

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 47 ways as a sum of consecutive naturals, for example, 5080512 + ... + 5080704.

It is an arithmetic number, because the mean of its divisors is an integer number (11122020).

Almost surely, 2^980557344 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 980557344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601570880).

980557344 is an abundant number, since it is smaller than the sum of its proper divisors (2222584416).

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

980557344 is a wasteful number, since it uses less digits than its factorization.

980557344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 980557344 is about 31313.8522702014. The cubic root of 980557344 is about 993.4766531441.

The spelling of 980557344 in words is "nine hundred eighty million, five hundred fifty-seven thousand, three hundred forty-four".