515256672 has 384 divisors, whose sum is σ = 1787111424. Its totient is φ = 126517248.

The previous prime is 515256671. The next prime is 515256719. The reversal of 515256672 is 276652515.

Its product of digits (126000) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 515256672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515256671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9721798 + ... + 9721850.

It is an arithmetic number, because the mean of its divisors is an integer number (4653936).

Almost surely, 2^515256672 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 515256672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893555712).

515256672 is an abundant number, since it is smaller than the sum of its proper divisors (1271854752).

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

515256672 is a wasteful number, since it uses less digits than its factorization.

515256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 515256672 is about 22699.2658912133. The cubic root of 515256672 is about 801.6925996906.

The spelling of 515256672 in words is "five hundred fifteen million, two hundred fifty-six thousand, six hundred seventy-two".