578883360 has 144 divisors (see below), whose sum is σ = 2004524928. Its totient is φ = 140321280.

The previous prime is 578883341. The next prime is 578883379. The reversal of 578883360 is 63388875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (578883341) and next prime (578883379).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53097 + ... + 63063.

It is an arithmetic number, because the mean of its divisors is an integer number (13920312).

Almost surely, 2^578883360 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 578883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002262464).

578883360 is an abundant number, since it is smaller than the sum of its proper divisors (1425641568).

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

578883360 is a wasteful number, since it uses less digits than its factorization.

578883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 578883360 is about 24059.9950124683. The cubic root of 578883360 is about 833.4195594333.

The spelling of 578883360 in words is "five hundred seventy-eight million, eight hundred eighty-three thousand, three hundred sixty".