468960 has 48 divisors (see below), whose sum is σ = 1478736. Its totient is φ = 124928.

The previous prime is 468953. The next prime is 468967. The reversal of 468960 is 69864.

It is an interprime number because it is at equal distance from previous prime (468953) and next prime (468967).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468967) 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, 9 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (30807).

2⁴⁶⁸⁹⁶⁰ is an apocalyptic number.

468960 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 468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739368).

468960 is an abundant number, since it is smaller than the sum of its proper divisors (1009776).

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

468960 is a wasteful number, since it uses less digits than its factorization.

468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 468960 is about 684.8065420248. The cubic root of 468960 is about 77.6924112516.

The spelling of 468960 in words is "four hundred sixty-eight thousand, nine hundred sixty".