456240 has 40 divisors (see below), whose sum is σ = 1415088. Its totient is φ = 121600.

The previous prime is 456233. The next prime is 456241. The reversal of 456240 is 42654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (456241) by changing a digit.

456240 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 7 ways as a sum of consecutive naturals, for example, 711 + ... + 1190.

2⁴⁵⁶²⁴⁰ is an apocalyptic number.

456240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456240 is an abundant number, since it is smaller than the sum of its proper divisors (958848).

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

456240 is a wasteful number, since it uses less digits than its factorization.

456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 456240 is about 675.4554019327. The cubic root of 456240 is about 76.9835237699.

Adding to 456240 its reverse (42654), we get a palindrome (498894).

It can be divided in two parts, 456 and 240, that added together give a palindrome (696).

The spelling of 456240 in words is "four hundred fifty-six thousand, two hundred forty".