515420304 has 80 divisors (see below), whose sum is σ = 1532961408. Its totient is φ = 146174976.

The previous prime is 515420281. The next prime is 515420309. The reversal of 515420304 is 403024515.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (515420309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40434 + ... + 51630.

Almost surely, 2^515420304 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 515420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766480704).

515420304 is an abundant number, since it is smaller than the sum of its proper divisors (1017541104).

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

515420304 is a wasteful number, since it uses less digits than its factorization.

515420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 515420304 is about 22702.8699507353. The cubic root of 515420304 is about 801.7774562203. Note that the first 3 decimals are identical.

Adding to 515420304 its reverse (403024515), we get a palindrome (918444819).

The spelling of 515420304 in words is "five hundred fifteen million, four hundred twenty thousand, three hundred four".