468864315 has 128 divisors (see below), whose sum is σ = 928972800. Its totient is φ = 223534080.

The previous prime is 468864313. The next prime is 468864359. The reversal of 468864315 is 513468864.

It is not a de Polignac number, because 468864315 - 2¹ = 468864313 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (468864313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3691782 + ... + 3691908.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^468864315 is an apocalyptic number.

468864315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468864315 is a deficient number, since it is larger than the sum of its proper divisors (460108485).

468864315 is a wasteful number, since it uses less digits than its factorization.

468864315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 468864315 is about 21653.2749255165. The cubic root of 468864315 is about 776.8712686064.

The spelling of 468864315 in words is "four hundred sixty-eight million, eight hundred sixty-four thousand, three hundred fifteen".