578257920 has 352 divisors, whose sum is σ = 2122329600. Its totient is φ = 149225472.

The previous prime is 578257909. The next prime is 578257987. The reversal of 578257920 is 29752875.

It is a happy number.

578257920 is a `hidden beast` number, since 5 + 78 + 2 + 579 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497236 + ... + 6497324.

Almost surely, 2^578257920 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 578257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061164800).

578257920 is an abundant number, since it is smaller than the sum of its proper divisors (1544071680).

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

578257920 is a wasteful number, since it uses less digits than its factorization.

578257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 578257920 is about 24046.9939909337. The cubic root of 578257920 is about 833.1193021891.

The spelling of 578257920 in words is "five hundred seventy-eight million, two hundred fifty-seven thousand, nine hundred twenty".