456462 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 148824.

The previous prime is 456461. The next prime is 456499. The reversal of 456462 is 264654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4213 + ... + 4319.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴⁵⁶⁴⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

456462 is an abundant number, since it is smaller than the sum of its proper divisors (580338).

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

456462 is a wasteful number, since it uses less digits than its factorization.

456462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 456462 is about 675.6197155205. The cubic root of 456462 is about 76.9960081137.

The spelling of 456462 in words is "four hundred fifty-six thousand, four hundred sixty-two".