467760 has 40 divisors (see below), whose sum is σ = 1450800. Its totient is φ = 124672.

The previous prime is 467749. The next prime is 467773. The reversal of 467760 is 67764.

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 (30).

It is an unprimeable number.

467760 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, 735 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (36270).

2⁴⁶⁷⁷⁶⁰ is an apocalyptic number.

467760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467760 is an abundant number, since it is smaller than the sum of its proper divisors (983040).

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

467760 is a wasteful number, since it uses less digits than its factorization.

467760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 467760 is about 683.9298209612. The cubic root of 467760 is about 77.6260868117.

The spelling of 467760 in words is "four hundred sixty-seven thousand, seven hundred sixty".