468240 has 40 divisors (see below), whose sum is σ = 1452288. Its totient is φ = 124800.

The previous prime is 468239. The next prime is 468241. The reversal of 468240 is 42864.

It is an interprime number because it is at equal distance from previous prime (468239) and next prime (468241).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 468240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 1215.

2⁴⁶⁸²⁴⁰ is an apocalyptic number.

468240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468240 is an abundant number, since it is smaller than the sum of its proper divisors (984048).

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

468240 is a wasteful number, since it uses less digits than its factorization.

468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 468240 is about 684.2806441804. The cubic root of 468240 is about 77.6526301841.

The spelling of 468240 in words is "four hundred sixty-eight thousand, two hundred forty".