456410 has 8 divisors (see below), whose sum is σ = 821556. Its totient is φ = 182560.

The previous prime is 456409. The next prime is 456427. The reversal of 456410 is 14654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 452929 + 3481 = 673^2 + 59^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22811 + ... + 22830.

2⁴⁵⁶⁴¹⁰ is an apocalyptic number.

456410 is a deficient number, since it is larger than the sum of its proper divisors (365146).

456410 is a wasteful number, since it uses less digits than its factorization.

456410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45648.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 456410 is about 675.5812312372. The cubic root of 456410 is about 76.9930842161.

The spelling of 456410 in words is "four hundred fifty-six thousand, four hundred ten".