582428460 has 96 divisors (see below), whose sum is σ = 1706443200. Its totient is φ = 148234240.

The previous prime is 582428443. The next prime is 582428461. The reversal of 582428460 is 64824285.

582428460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×582428460² = 678445822035943200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (582428461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152980 + ... + 156740.

It is an arithmetic number, because the mean of its divisors is an integer number (17775450).

Almost surely, 2^582428460 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 582428460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853221600).

582428460 is an abundant number, since it is smaller than the sum of its proper divisors (1124014740).

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

582428460 is a wasteful number, since it uses less digits than its factorization.

582428460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 582428460 is about 24133.5546490773. The cubic root of 582428460 is about 835.1173941822.

The spelling of 582428460 in words is "five hundred eighty-two million, four hundred twenty-eight thousand, four hundred sixty".