578433240 has 432 divisors, whose sum is σ = 2412577440. Its totient is φ = 119750400.

The previous prime is 578433221. The next prime is 578433253. The reversal of 578433240 is 42334875.

It is a happy number.

578433240 is a `hidden beast` number, since 578 + 43 + 3 + 2 + 40 = 666.

578433240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 578433195 and 578433204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2134305 + ... + 2134575.

It is an arithmetic number, because the mean of its divisors is an integer number (5584670).

Almost surely, 2^578433240 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 578433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206288720).

578433240 is an abundant number, since it is smaller than the sum of its proper divisors (1834144200).

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

578433240 is a wasteful number, since it uses less digits than its factorization.

578433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 578433240 is about 24050.6390767480. The cubic root of 578433240 is about 833.2034905256.

The spelling of 578433240 in words is "five hundred seventy-eight million, four hundred thirty-three thousand, two hundred forty".