578513320 has 256 divisors, whose sum is σ = 1718599680. Its totient is φ = 170035200.

The previous prime is 578513303. The next prime is 578513339. The reversal of 578513320 is 23315875.

578513320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×578513320² = 669355322834844800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6969999 + ... + 6970081.

It is an arithmetic number, because the mean of its divisors is an integer number (6713280).

Almost surely, 2^578513320 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 578513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859299840).

578513320 is an abundant number, since it is smaller than the sum of its proper divisors (1140086360).

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

578513320 is a wasteful number, since it uses less digits than its factorization.

578513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 578513320 is about 24052.3038397572. The cubic root of 578513320 is about 833.2419391324.

The spelling of 578513320 in words is "five hundred seventy-eight million, five hundred thirteen thousand, three hundred twenty".