515430000 has 400 divisors, whose sum is σ = 1952375040. Its totient is φ = 129888000.

The previous prime is 515429947. The next prime is 515430007. The reversal of 515430000 is 34515.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515430007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6209959 + ... + 6210041.

Almost surely, 2^515430000 is an apocalyptic number.

515430000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976187520).

515430000 is an abundant number, since it is smaller than the sum of its proper divisors (1436945040).

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

515430000 is a wasteful number, since it uses less digits than its factorization.

515430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 515430000 is about 22703.0834910150. The cubic root of 515430000 is about 801.7824838229.

Adding to 515430000 its reverse (34515), we get a palindrome (515464515).

The spelling of 515430000 in words is "five hundred fifteen million, four hundred thirty thousand".