515468000 has 96 divisors (see below), whose sum is σ = 1307674368. Its totient is φ = 199488000.

The previous prime is 515467993. The next prime is 515468029. The reversal of 515468000 is 864515.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121922 + ... + 126078.

It is an arithmetic number, because the mean of its divisors is an integer number (13621608).

Almost surely, 2^515468000 is an apocalyptic number.

515468000 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 515468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653837184).

515468000 is an abundant number, since it is smaller than the sum of its proper divisors (792206368).

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

515468000 is a wasteful number, since it uses less digits than its factorization.

515468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 515468000 is about 22703.9203663156. The cubic root of 515468000 is about 801.8021871035.

The spelling of 515468000 in words is "five hundred fifteen million, four hundred sixty-eight thousand".