515328480 has 240 divisors, whose sum is σ = 1926484560. Its totient is φ = 129282048.

The previous prime is 515328439. The next prime is 515328481. The reversal of 515328480 is 84823515.

It is a happy number.

515328480 is a `hidden beast` number, since 5 + 153 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×515328480² = 531126884598220800, which contains 22 as substring.

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 (515328481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219151 + ... + 221489.

It is an arithmetic number, because the mean of its divisors is an integer number (8027019).

Almost surely, 2^515328480 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 515328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963242280).

515328480 is an abundant number, since it is smaller than the sum of its proper divisors (1411156080).

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

515328480 is a wasteful number, since it uses less digits than its factorization.

515328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 515328480 is about 22700.8475612696. The cubic root of 515328480 is about 801.7298402034.

It can be divided in two parts, 5153 and 28480, that added together give a palindrome (33633).

The spelling of 515328480 in words is "five hundred fifteen million, three hundred twenty-eight thousand, four hundred eighty".