468738 has 12 divisors (see below), whose sum is σ = 1015638. Its totient is φ = 156240.

The previous prime is 468737. The next prime is 468739. The reversal of 468738 is 837864.

It is an interprime number because it is at equal distance from previous prime (468737) and next prime (468739).

It can be written as a sum of positive squares in only one way, i.e., 294849 + 173889 = 543^2 + 417^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468738.

It is not an unprimeable number, because it can be changed into a prime (468737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13003 + ... + 13038.

468738 is a Friedman number, since it can be written as 6*(8-3)^7-8-4, using all its digits and the basic arithmetic operations.

2⁴⁶⁸⁷³⁸ is an apocalyptic number.

468738 is an abundant number, since it is smaller than the sum of its proper divisors (546900).

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

468738 is a wasteful number, since it uses less digits than its factorization.

468738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26049 (or 26046 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 468738 is about 684.6444332645. The cubic root of 468738 is about 77.6801497669.

The spelling of 468738 in words is "four hundred sixty-eight thousand, seven hundred thirty-eight".