456004 has 6 divisors (see below), whose sum is σ = 798014. Its totient is φ = 228000.

The previous prime is 455999. The next prime is 456007. The reversal of 456004 is 400654.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 36100 = 648^2 + 190^2 .

It is not an unprimeable number, because it can be changed into a prime (456007) by changing a digit.

456004 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 as a sum of consecutive naturals, namely, 56997 + ... + 57004.

2⁴⁵⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

456004 is a deficient number, since it is larger than the sum of its proper divisors (342010).

456004 is a wasteful number, since it uses less digits than its factorization.

456004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114005 (or 114003 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 456004 is about 675.2806823833. The cubic root of 456004 is about 76.9702476834.

Adding to 456004 its reverse (400654), we get a palindrome (856658).

The spelling of 456004 in words is "four hundred fifty-six thousand, four".