456520 has 32 divisors (see below), whose sum is σ = 1046520. Its totient is φ = 179200.

The previous prime is 456517. The next prime is 456523. The reversal of 456520 is 25654.

456520 = T₄₀ + T₄₁ + ... + T₁₄₀.

456520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (456517) and next prime (456523).

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 103684 = 594^2 + 322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456491 and 456500.

It is not an unprimeable number, because it can be changed into a prime (456523) 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, 3984 + ... + 4096.

2⁴⁵⁶⁵²⁰ is an apocalyptic number.

456520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456520 is an abundant number, since it is smaller than the sum of its proper divisors (590000).

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

456520 is a wasteful number, since it uses less digits than its factorization.

456520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 456520 is about 675.6626377120. The cubic root of 456520 is about 76.9992691222. Note that the first 3 decimals are identical.

The spelling of 456520 in words is "four hundred fifty-six thousand, five hundred twenty".