585420480 has 112 divisors (see below), whose sum is σ = 2065263840. Its totient is φ = 156109824.

The previous prime is 585420463. The next prime is 585420487. The reversal of 585420480 is 84024585.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (585420487) 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 15 ways as a sum of consecutive naturals, for example, 25239 + ... + 42518.

Almost surely, 2^585420480 is an apocalyptic number.

It is an amenable number.

585420480 is an abundant number, since it is smaller than the sum of its proper divisors (1479843360).

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

585420480 is a wasteful number, since it uses less digits than its factorization.

585420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67783 (or 67767 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 585420480 is about 24195.4640377076. The cubic root of 585420480 is about 836.5449923500.

The spelling of 585420480 in words is "five hundred eighty-five million, four hundred twenty thousand, four hundred eighty".