450480 has 40 divisors (see below), whose sum is σ = 1397232. Its totient is φ = 120064.

The previous prime is 450479. The next prime is 450481. The reversal of 450480 is 84054.

It is an interprime number because it is at equal distance from previous prime (450479) and next prime (450481).

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

It is not an unprimeable number, because it can be changed into a prime (450481) 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, 699 + ... + 1178.

2⁴⁵⁰⁴⁸⁰ is an apocalyptic number.

450480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450480 is an abundant number, since it is smaller than the sum of its proper divisors (946752).

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

450480 is a wasteful number, since it uses less digits than its factorization.

450480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 450480 is about 671.1780687716. The cubic root of 450480 is about 76.6581801150.

It can be divided in two parts, 450 and 480, that multiplied together give a cube (216000 = 60³).

The spelling of 450480 in words is "four hundred fifty thousand, four hundred eighty".