590434680 has 256 divisors, whose sum is σ = 2043740160. Its totient is φ = 135129600.

The previous prime is 590434643. The next prime is 590434687. The reversal of 590434680 is 86434095.

It is a super-2 number, since 2×590434680² = 697226222693404800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (590434687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1923087 + ... + 1923393.

It is an arithmetic number, because the mean of its divisors is an integer number (7983360).

Almost surely, 2^590434680 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 590434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

590434680 is an abundant number, since it is smaller than the sum of its proper divisors (1453305480).

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

590434680 is a wasteful number, since it uses less digits than its factorization.

590434680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 590434680 is about 24298.8617017341. The cubic root of 590434680 is about 838.9265767187.

The spelling of 590434680 in words is "five hundred ninety million, four hundred thirty-four thousand, six hundred eighty".