578881440 has 144 divisors (see below), whose sum is σ = 1987241256. Its totient is φ = 153446400.

The previous prime is 578881421. The next prime is 578881447. The reversal of 578881440 is 44188875.

578881440 is a `hidden beast` number, since 57 + 88 + 81 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331385616 + 247495824 = 18204^2 + 15732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (578881447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259530 + ... + 261750.

Almost surely, 2^578881440 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 578881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993620628).

578881440 is an abundant number, since it is smaller than the sum of its proper divisors (1408359816).

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

578881440 is a wasteful number, since it uses less digits than its factorization.

578881440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 578881440 is about 24059.9551121776. The cubic root of 578881440 is about 833.4186380230.

The spelling of 578881440 in words is "five hundred seventy-eight million, eight hundred eighty-one thousand, four hundred forty".