468840 has 32 divisors (see below), whose sum is σ = 1406880. Its totient is φ = 124992.

The previous prime is 468821. The next prime is 468841. The reversal of 468840 is 48864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 468798 and 468807.

It is not an unprimeable number, because it can be changed into a prime (468841) by changing a digit.

468840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1834 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (43965).

2⁴⁶⁸⁸⁴⁰ is an apocalyptic number.

468840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468840 is an abundant number, since it is smaller than the sum of its proper divisors (938040).

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

468840 is a wasteful number, since it uses less digits than its factorization.

468840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 468840 is about 684.7189204338. The cubic root of 468840 is about 77.6857839027.

The spelling of 468840 in words is "four hundred sixty-eight thousand, eight hundred forty".