580103424 has 288 divisors, whose sum is σ = 1854316800. Its totient is φ = 178421760.

The previous prime is 580103387. The next prime is 580103449. The reversal of 580103424 is 424301085.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6517972 + ... + 6518060.

It is an arithmetic number, because the mean of its divisors is an integer number (6438600).

Almost surely, 2^580103424 is an apocalyptic number.

580103424 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 580103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927158400).

580103424 is an abundant number, since it is smaller than the sum of its proper divisors (1274213376).

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

580103424 is a wasteful number, since it uses less digits than its factorization.

580103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 580103424 is about 24085.3362857985. The cubic root of 580103424 is about 834.0046581180.

The spelling of 580103424 in words is "five hundred eighty million, one hundred three thousand, four hundred twenty-four".