468640 has 48 divisors (see below), whose sum is σ = 1156680. Its totient is φ = 179200.

The previous prime is 468623. The next prime is 468641. The reversal of 468640 is 46864.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 11664 = 676^2 + 108^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 468599 and 468608.

It is not an unprimeable number, because it can be changed into a prime (468641) 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, 4590 + ... + 4690.

2⁴⁶⁸⁶⁴⁰ is an apocalyptic number.

468640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578340).

468640 is an abundant number, since it is smaller than the sum of its proper divisors (688040).

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

468640 is a wasteful number, since it uses less digits than its factorization.

468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 468640 is about 684.5728595263. The cubic root of 468640 is about 77.6747358077.

It can be divided in two parts, 4 and 68640, that added together give a square (68644 = 262²).

The spelling of 468640 in words is "four hundred sixty-eight thousand, six hundred forty".