578479104 has 352 divisors, whose sum is σ = 2030624000. Its totient is φ = 162570240.

The previous prime is 578479087. The next prime is 578479117. The reversal of 578479104 is 401974875.

It is a happy number.

578479104 is a `hidden beast` number, since 5 + 78 + 479 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 578479104.

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 31 ways as a sum of consecutive naturals, for example, 9483234 + ... + 9483294.

Almost surely, 2^578479104 is an apocalyptic number.

578479104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015312000).

578479104 is an abundant number, since it is smaller than the sum of its proper divisors (1452144896).

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

578479104 is an equidigital number, since it uses as much as digits as its factorization.

578479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 578479104 is about 24051.5925460249. The cubic root of 578479104 is about 833.2255115255.

The spelling of 578479104 in words is "five hundred seventy-eight million, four hundred seventy-nine thousand, one hundred four".