585526480 has 240 divisors, whose sum is σ = 1779100416. Its totient is φ = 177085440.

The previous prime is 585526471. The next prime is 585526483. The reversal of 585526480 is 84625585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585526483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595257 + ... + 1595623.

Almost surely, 2^585526480 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 585526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889550208).

585526480 is an abundant number, since it is smaller than the sum of its proper divisors (1193573936).

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

585526480 is a wasteful number, since it uses less digits than its factorization.

585526480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The square root of 585526480 is about 24197.6544317833. The cubic root of 585526480 is about 836.5954793765.

The spelling of 585526480 in words is "five hundred eighty-five million, five hundred twenty-six thousand, four hundred eighty".