456742 has 16 divisors (see below), whose sum is σ = 805392. Its totient is φ = 191520.

The previous prime is 456737. The next prime is 456763. The reversal of 456742 is 247654.

It is a super-2 number, since 2×456742² = 417226509128, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁸ + 5⁵ + 7⁶ + 6⁵ + 4⁹ + 2⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 456742.

It is a congruent number.

It is an unprimeable number.

456742 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 7 ways as a sum of consecutive naturals, for example, 513 + ... + 1084.

It is an arithmetic number, because the mean of its divisors is an integer number (50337).

2⁴⁵⁶⁷⁴² is an apocalyptic number.

456742 is a deficient number, since it is larger than the sum of its proper divisors (348650).

456742 is a wasteful number, since it uses less digits than its factorization.

456742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623.

The product of its digits is 6720, while the sum is 28.

The square root of 456742 is about 675.8269009147. The cubic root of 456742 is about 77.0117483620.

The spelling of 456742 in words is "four hundred fifty-six thousand, seven hundred forty-two".