468464 has 40 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 209088.

The previous prime is 468463. The next prime is 468473. The reversal of 468464 is 464864.

It is a self number, because there is not a number n which added to its sum of digits gives 468464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6959 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

2⁴⁶⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920).

468464 is an abundant number, since it is smaller than the sum of its proper divisors (543376).

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

468464 is a wasteful number, since it uses less digits than its factorization.

468464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 468464 is about 684.4443001443. Note that the first 3 decimals coincide. The cubic root of 468464 is about 77.6650108836.

Subtracting from 468464 its reverse (464864), we obtain a square (3600 = 60²).

The spelling of 468464 in words is "four hundred sixty-eight thousand, four hundred sixty-four".