578842320 has 240 divisors, whose sum is σ = 2141112960. Its totient is φ = 126572544.

The previous prime is 578842301. The next prime is 578842351. The reversal of 578842320 is 23248875.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5310426 + ... + 5310534.

It is an arithmetic number, because the mean of its divisors is an integer number (8921304).

Almost surely, 2^578842320 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 578842320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070556480).

578842320 is an abundant number, since it is smaller than the sum of its proper divisors (1562270640).

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

578842320 is a wasteful number, since it uses less digits than its factorization.

578842320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 578842320 is about 24059.1421293445. The cubic root of 578842320 is about 833.3998638438.

The spelling of 578842320 in words is "five hundred seventy-eight million, eight hundred forty-two thousand, three hundred twenty".