578833920 has 480 divisors, whose sum is σ = 2377222848. Its totient is φ = 127401984.

The previous prime is 578833919. The next prime is 578833921. The reversal of 578833920 is 29338875.

It is an interprime number because it is at equal distance from previous prime (578833919) and next prime (578833921).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578833921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967312 + ... + 5967408.

Almost surely, 2^578833920 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 578833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

578833920 is an abundant number, since it is smaller than the sum of its proper divisors (1798388928).

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

578833920 is a wasteful number, since it uses less digits than its factorization.

578833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 578833920 is about 24058.9675588958. The cubic root of 578833920 is about 833.3958324681.

The spelling of 578833920 in words is "five hundred seventy-eight million, eight hundred thirty-three thousand, nine hundred twenty".