450160 has 40 divisors (see below), whose sum is σ = 1111536. Its totient is φ = 168960.

The previous prime is 450137. The next prime is 450161. The reversal of 450160 is 61054.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450161) by changing a digit.

450160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1195 + ... + 1525.

2⁴⁵⁰¹⁶⁰ is an apocalyptic number.

450160 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 450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555768).

450160 is an abundant number, since it is smaller than the sum of its proper divisors (661376).

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

450160 is a wasteful number, since it uses less digits than its factorization.

450160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 450160 is about 670.9396396100. The cubic root of 450160 is about 76.6400243490.

The spelling of 450160 in words is "four hundred fifty thousand, one hundred sixty".