508540032 has 640 divisors, whose sum is σ = 2073456000. Its totient is φ = 121927680.

The previous prime is 508539991. The next prime is 508540033. The reversal of 508540032 is 230045805.

It is a super-2 number, since 2×508540032² = 517225928293122048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 508539978 and 508540005.

It is not an unprimeable number, because it can be changed into a prime (508540033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39118458 + ... + 39118470.

It is an arithmetic number, because the mean of its divisors is an integer number (3239775).

Almost surely, 2^508540032 is an apocalyptic number.

508540032 is a gapful number since it is divisible by the number (52) 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 508540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036728000).

508540032 is an abundant number, since it is smaller than the sum of its proper divisors (1564915968).

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

508540032 is a wasteful number, since it uses less digits than its factorization.

508540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

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

The square root of 508540032 is about 22550.8321797667. The cubic root of 508540032 is about 798.1938587191.

Adding to 508540032 its reverse (230045805), we get a palindrome (738585837).

The spelling of 508540032 in words is "five hundred eight million, five hundred forty thousand, thirty-two".