515440 has 40 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 193536.

The previous prime is 515429. The next prime is 515477. The reversal of 515440 is 44515.

515440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 1549.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁵¹⁵⁴⁴⁰ 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 515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

515440 is an abundant number, since it is smaller than the sum of its proper divisors (756800).

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

515440 is a wasteful number, since it uses less digits than its factorization.

515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 515440 is about 717.9415017952. The cubic root of 515440 is about 80.1787668991.

Adding to 515440 its reverse (44515), we get a palindrome (559955).

The spelling of 515440 in words is "five hundred fifteen thousand, four hundred forty".