468871840 has 24 divisors (see below), whose sum is σ = 1107710100. Its totient is φ = 187548672.

The previous prime is 468871801. The next prime is 468871841. The reversal of 468871840 is 48178864.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 464661136 + 4210704 = 21556^2 + 2052^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (468871841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1465065 + ... + 1465384.

Almost surely, 2^468871840 is an apocalyptic number.

468871840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468871840 is an abundant number, since it is smaller than the sum of its proper divisors (638838260).

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

468871840 is a wasteful number, since it uses less digits than its factorization.

468871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930464 (or 2930456 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 468871840 is about 21653.4486860638. The cubic root of 468871840 is about 776.8754246950.

The spelling of 468871840 in words is "four hundred sixty-eight million, eight hundred seventy-one thousand, eight hundred forty".