500959440 has 60 divisors (see below), whose sum is σ = 1682391204. Its totient is φ = 133588992.

The previous prime is 500959429. The next prime is 500959441. The reversal of 500959440 is 44959005.

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 414692496 = 9288^2 + 20364^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×500959440² = 501920721050227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 500959395 and 500959404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500959441) 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 11 ways as a sum of consecutive naturals, for example, 347169 + ... + 348608.

Almost surely, 2^500959440 is an apocalyptic number.

It is an amenable number.

500959440 is an abundant number, since it is smaller than the sum of its proper divisors (1181431764).

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

500959440 is a wasteful number, since it uses less digits than its factorization.

500959440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695796 (or 695787 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 500959440 is about 22382.1232236801. The cubic root of 500959440 is about 794.2078736310.

The spelling of 500959440 in words is "five hundred million, nine hundred fifty-nine thousand, four hundred forty".