980578440 has 256 divisors, whose sum is σ = 3427660800. Its totient is φ = 249080832.

The previous prime is 980578399. The next prime is 980578451. The reversal of 980578440 is 44875089.

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

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 63 ways as a sum of consecutive naturals, for example, 2117649 + ... + 2118111.

It is an arithmetic number, because the mean of its divisors is an integer number (13389300).

Almost surely, 2^980578440 is an apocalyptic number.

980578440 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 980578440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713830400).

980578440 is an abundant number, since it is smaller than the sum of its proper divisors (2447082360).

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

980578440 is a wasteful number, since it uses less digits than its factorization.

980578440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 980578440 is about 31314.1891161180. The cubic root of 980578440 is about 993.4837777429.

The spelling of 980578440 in words is "nine hundred eighty million, five hundred seventy-eight thousand, four hundred forty".