515345472 has 84 divisors (see below), whose sum is σ = 1517130316. Its totient is φ = 167132160.

The previous prime is 515345461. The next prime is 515345503. The reversal of 515345472 is 274543515.

515345472 is a `hidden beast` number, since 5 + 1 + 534 + 54 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 425019456 + 90326016 = 20616^2 + 9504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9222 + ... + 33402.

Almost surely, 2^515345472 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 515345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758565158).

515345472 is an abundant number, since it is smaller than the sum of its proper divisors (1001784844).

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

515345472 is a wasteful number, since it uses less digits than its factorization.

515345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24236 (or 24223 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 515345472 is about 22701.2218173384. The cubic root of 515345472 is about 801.7386519577.

Adding to 515345472 its reverse (274543515), we get a palindrome (789888987).

It can be divided in two parts, 5153 and 45472, that added together give a 4-th power (50625 = 15⁴).

The spelling of 515345472 in words is "five hundred fifteen million, three hundred forty-five thousand, four hundred seventy-two".