578000 has 60 divisors (see below), whose sum is σ = 1484652. Its totient is φ = 217600.

The previous prime is 577981. The next prime is 578021. The reversal of 578000 is 875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 53824 + 524176 = 232^2 + 724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

578000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33992 + ... + 34008.

2⁵⁷⁸⁰⁰⁰ is an apocalyptic number.

578000 is a gapful number since it is divisible by the number (50) 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 578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742326).

578000 is an abundant number, since it is smaller than the sum of its proper divisors (906652).

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

578000 is a wasteful number, since it uses less digits than its factorization.

578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 578000 is about 760.2631123499. The cubic root of 578000 is about 83.2995418550.

Multiplying 578000 by its sum of digits (20), we get a square (11560000 = 3400²).

578000 divided by its sum of digits (20) gives a square (28900 = 170²).

Adding to 578000 its reverse (875), we get a palindrome (578875).

The spelling of 578000 in words is "five hundred seventy-eight thousand".