536473584 has 80 divisors (see below), whose sum is σ = 1554141600. Its totient is φ = 177168384.

The previous prime is 536473583. The next prime is 536473621. The reversal of 536473584 is 485374635.

536473584 is a `hidden beast` number, since 5 + 3 + 64 + 7 + 3 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536473583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41392 + ... + 52784.

It is an arithmetic number, because the mean of its divisors is an integer number (19426770).

Almost surely, 2^536473584 is an apocalyptic number.

536473584 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 536473584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777070800).

536473584 is an abundant number, since it is smaller than the sum of its proper divisors (1017668016).

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

536473584 is a wasteful number, since it uses less digits than its factorization.

536473584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11519 (or 11507 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 536473584 is about 23161.8994039781. The cubic root of 536473584 is about 812.5487889914.

The spelling of 536473584 in words is "five hundred thirty-six million, four hundred seventy-three thousand, five hundred eighty-four".