450156 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 122496.

The previous prime is 450137. The next prime is 450161. The reversal of 450156 is 651054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450156.

It is an unprimeable number.

450156 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 15 ways as a sum of consecutive naturals, for example, 1816 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁴⁵⁰¹⁵⁶ is an apocalyptic number.

450156 is a gapful number since it is divisible by the number (46) 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 450156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

450156 is an abundant number, since it is smaller than the sum of its proper divisors (807828).

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

450156 is a wasteful number, since it uses less digits than its factorization.

450156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 450156 is about 670.9366587093. The cubic root of 450156 is about 76.6397973475.

It can be divided in two parts, 450 and 156, that added together give a palindrome (606).

The spelling of 450156 in words is "four hundred fifty thousand, one hundred fifty-six".