504512064 has 140 divisors (see below), whose sum is σ = 1709302144. Its totient is φ = 144135936.

The previous prime is 504512023. The next prime is 504512081. The reversal of 504512064 is 460215405.

504512064 is a `hidden beast` number, since 5 + 0 + 451 + 206 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29337 + ... + 43239.

Almost surely, 2^504512064 is an apocalyptic number.

504512064 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 504512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854651072).

504512064 is an abundant number, since it is smaller than the sum of its proper divisors (1204790080).

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

504512064 is a wasteful number, since it uses less digits than its factorization.

504512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 504512064 is about 22461.3459970679. The cubic root of 504512064 is about 796.0808651633.

Adding to 504512064 its reverse (460215405), we get a palindrome (964727469).

The spelling of 504512064 in words is "five hundred four million, five hundred twelve thousand, sixty-four".