456460 has 24 divisors (see below), whose sum is σ = 992880. Its totient is φ = 176064.

The previous prime is 456457. The next prime is 456461. The reversal of 456460 is 64654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456461) 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, 187 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (41370).

2⁴⁵⁶⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496440).

456460 is an abundant number, since it is smaller than the sum of its proper divisors (536420).

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

456460 is a wasteful number, since it uses less digits than its factorization.

456460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

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

The square root of 456460 is about 675.6182353963. The cubic root of 456460 is about 76.9958956602.

It can be divided in two parts, 4564 and 60, that added together give a square (4624 = 68²).

The spelling of 456460 in words is "four hundred fifty-six thousand, four hundred sixty".