450960 has 40 divisors (see below), whose sum is σ = 1398720. Its totient is φ = 120192.

The previous prime is 450949. The next prime is 450971. The reversal of 450960 is 69054.

It is an interprime number because it is at equal distance from previous prime (450949) and next prime (450971).

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 450960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (34968).

2⁴⁵⁰⁹⁶⁰ is an apocalyptic number.

450960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450960 is an abundant number, since it is smaller than the sum of its proper divisors (947760).

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

450960 is a wasteful number, since it uses less digits than its factorization.

450960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 450960 is about 671.5355537870. The cubic root of 450960 is about 76.6853976497.

The spelling of 450960 in words is "four hundred fifty thousand, nine hundred sixty".