456150 has 24 divisors (see below), whose sum is σ = 1131624. Its totient is φ = 121600.

The previous prime is 456149. The next prime is 456151. The reversal of 456150 is 51654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456149) and next prime (456151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371 + ... + 1670.

It is an arithmetic number, because the mean of its divisors is an integer number (47151).

2⁴⁵⁶¹⁵⁰ is an apocalyptic number.

456150 is an abundant number, since it is smaller than the sum of its proper divisors (675474).

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

456150 is a wasteful number, since it uses less digits than its factorization.

456150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3051 counting only the distinct ones).

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

The square root of 456150 is about 675.3887769278. The cubic root of 456150 is about 76.9784613958.

Subtracting from 456150 its reverse (51654), we obtain a square (404496 = 636²).

It can be divided in two parts, 456 and 150, that added together give a palindrome (606).

The spelling of 456150 in words is "four hundred fifty-six thousand, one hundred fifty".