980048880 has 240 divisors, whose sum is σ = 3577866240. Its totient is φ = 239500800.

The previous prime is 980048879. The next prime is 980048891. The reversal of 980048880 is 88840089.

980048880 is a `hidden beast` number, since 98 + 0 + 0 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 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, 422925 + ... + 425235.

It is an arithmetic number, because the mean of its divisors is an integer number (14907776).

Almost surely, 2^980048880 is an apocalyptic number.

980048880 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 980048880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788933120).

980048880 is an abundant number, since it is smaller than the sum of its proper divisors (2597817360).

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

980048880 is a wasteful number, since it uses less digits than its factorization.

980048880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 980048880 is about 31305.7323824248. The cubic root of 980048880 is about 993.3049023688.

The spelling of 980048880 in words is "nine hundred eighty million, forty-eight thousand, eight hundred eighty".