456040 has 32 divisors (see below), whose sum is σ = 1106280. Its totient is φ = 168192.

The previous prime is 456037. The next prime is 456047. The reversal of 456040 is 40654.

It can be written as a sum of positive squares in 4 ways, for example, as 362404 + 93636 = 602^2 + 306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 455999 and 456017.

It is not an unprimeable number, because it can be changed into a prime (456047) by changing a digit.

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, 82 + ... + 958.

2⁴⁵⁶⁰⁴⁰ is an apocalyptic number.

456040 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 456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553140).

456040 is an abundant number, since it is smaller than the sum of its proper divisors (650240).

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

456040 is a wasteful number, since it uses less digits than its factorization.

456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

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

The square root of 456040 is about 675.3073374398. The cubic root of 456040 is about 76.9722731452.

Adding to 456040 its reverse (40654), we get a palindrome (496694).

The spelling of 456040 in words is "four hundred fifty-six thousand, forty".