515268000 has 384 divisors, whose sum is σ = 2025354240. Its totient is φ = 126489600.

The previous prime is 515267999. The next prime is 515268001. The reversal of 515268000 is 862515.

It is an interprime number because it is at equal distance from previous prime (515267999) and next prime (515268001).

It is a super-2 number, since 2×515268000² = 531002223648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (515268001) 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, 1403817 + ... + 1404183.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^515268000 is an apocalyptic number.

515268000 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 515268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012677120).

515268000 is an abundant number, since it is smaller than the sum of its proper divisors (1510086240).

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

515268000 is a wasteful number, since it uses less digits than its factorization.

515268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 515268000 is about 22699.5154133299. The cubic root of 515268000 is about 801.6984747607.

The spelling of 515268000 in words is "five hundred fifteen million, two hundred sixty-eight thousand".