455742 has 24 divisors (see below), whose sum is σ = 1128816. Its totient is φ = 130176.

The previous prime is 455737. The next prime is 455761. The reversal of 455742 is 247554.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455742.

It is an unprimeable number.

455742 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 11 ways as a sum of consecutive naturals, for example, 1683 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (47034).

2⁴⁵⁵⁷⁴² is an apocalyptic number.

455742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

455742 is an abundant number, since it is smaller than the sum of its proper divisors (673074).

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

455742 is a wasteful number, since it uses less digits than its factorization.

455742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3629 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 455742 is about 675.0866611036. The cubic root of 455742 is about 76.9555036108.

The spelling of 455742 in words is "four hundred fifty-five thousand, seven hundred forty-two".