515661440 has 256 divisors, whose sum is σ = 1504051200. Its totient is φ = 165335040.

The previous prime is 515661437. The next prime is 515661467. The reversal of 515661440 is 44166515.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 515661397 and 515661406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6527321 + ... + 6527399.

It is an arithmetic number, because the mean of its divisors is an integer number (5875200).

Almost surely, 2^515661440 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 515661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752025600).

515661440 is an abundant number, since it is smaller than the sum of its proper divisors (988389760).

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

515661440 is a wasteful number, since it uses less digits than its factorization.

515661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 515661440 is about 22708.1800239473. The cubic root of 515661440 is about 801.9024721632.

The spelling of 515661440 in words is "five hundred fifteen million, six hundred sixty-one thousand, four hundred forty".