450164 has 24 divisors (see below), whose sum is σ = 926688. Its totient is φ = 188640.

The previous prime is 450161. The next prime is 450169. The reversal of 450164 is 461054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450161) 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, 179 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (38612).

2⁴⁵⁰¹⁶⁴ is an apocalyptic number.

450164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

450164 is an abundant number, since it is smaller than the sum of its proper divisors (476524).

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

450164 is a wasteful number, since it uses less digits than its factorization.

450164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 450164 is about 670.9426204975. The cubic root of 450164 is about 76.6402513492.

The spelling of 450164 in words is "four hundred fifty thousand, one hundred sixty-four".