468828507 has 16 divisors (see below), whose sum is σ = 714766592. Its totient is φ = 267766560.

The previous prime is 468828473. The next prime is 468828539. The reversal of 468828507 is 705828864.

It is not a de Polignac number, because 468828507 - 2⁷ = 468828379 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468828307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49332 + ... + 58062.

It is an arithmetic number, because the mean of its divisors is an integer number (44672912).

Almost surely, 2^468828507 is an apocalyptic number.

468828507 is a deficient number, since it is larger than the sum of its proper divisors (245938085).

468828507 is a wasteful number, since it uses less digits than its factorization.

468828507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298.

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 468828507 is about 21652.4480602079. The cubic root of 468828507 is about 776.8514910903.

The spelling of 468828507 in words is "four hundred sixty-eight million, eight hundred twenty-eight thousand, five hundred seven".