501300864 has 192 divisors, whose sum is σ = 1562028000. Its totient is φ = 153778176.

The previous prime is 501300857. The next prime is 501300929. The reversal of 501300864 is 468003105.

501300864 = T₅₁₈₇ + T₅₁₈₈ + ... + T₅₂₂₃.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809547 + ... + 810165.

Almost surely, 2^501300864 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 501300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781014000).

501300864 is an abundant number, since it is smaller than the sum of its proper divisors (1060727136).

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

501300864 is a wasteful number, since it uses less digits than its factorization.

501300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 501300864 is about 22389.7490830067. The cubic root of 501300864 is about 794.3882608562.

Adding to 501300864 its reverse (468003105), we get a palindrome (969303969).

The spelling of 501300864 in words is "five hundred one million, three hundred thousand, eight hundred sixty-four".