980410368 has 224 divisors, whose sum is σ = 3082625280. Its totient is φ = 271319040.

The previous prime is 980410283. The next prime is 980410369. The reversal of 980410368 is 863014089.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×980410368² = 1922408979363790848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980410369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7053243 + ... + 7053381.

It is an arithmetic number, because the mean of its divisors is an integer number (13761720).

Almost surely, 2^980410368 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 980410368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541312640).

980410368 is an abundant number, since it is smaller than the sum of its proper divisors (2102214912).

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

980410368 is a wasteful number, since it uses less digits than its factorization.

980410368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 980410368 is about 31311.5053614482. The cubic root of 980410368 is about 993.4270131709.

The spelling of 980410368 in words is "nine hundred eighty million, four hundred ten thousand, three hundred sixty-eight".