515713464 has 192 divisors, whose sum is σ = 1645712640. Its totient is φ = 142871040.

The previous prime is 515713463. The next prime is 515713487. The reversal of 515713464 is 464317515.

515713464 is a `hidden beast` number, since 51 + 571 + 34 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515713463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3936679 + ... + 3936809.

It is an arithmetic number, because the mean of its divisors is an integer number (8571420).

Almost surely, 2^515713464 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 515713464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822856320).

515713464 is an abundant number, since it is smaller than the sum of its proper divisors (1129999176).

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

515713464 is a wasteful number, since it uses less digits than its factorization.

515713464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 515713464 is about 22709.3254853595. The cubic root of 515713464 is about 801.9294386753.

The spelling of 515713464 in words is "five hundred fifteen million, seven hundred thirteen thousand, four hundred sixty-four".