456640 has 28 divisors (see below), whose sum is σ = 1088136. Its totient is φ = 182528.

The previous prime is 456623. The next prime is 456641. The reversal of 456640 is 46654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456641) 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 3 ways as a sum of consecutive naturals, for example, 394 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (38862).

2⁴⁵⁶⁶⁴⁰ is an apocalyptic number.

456640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456640 is an abundant number, since it is smaller than the sum of its proper divisors (631496).

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

456640 is a wasteful number, since it uses less digits than its factorization.

456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 456640 is about 675.7514335908. The cubic root of 456640 is about 77.0060151595.

It can be divided in two parts, 4 and 56640, that added together give a square (56644 = 238²).

The spelling of 456640 in words is "four hundred fifty-six thousand, six hundred forty".