456492 has 24 divisors (see below), whose sum is σ = 1078000. Its totient is φ = 150336.

The previous prime is 456461. The next prime is 456499. The reversal of 456492 is 294654.

456492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4⁶ + 5³ + 4⁹ + 6 + 9⁵ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (456499) by changing a digit.

456492 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, 1134 + ... + 1482.

2⁴⁵⁶⁴⁹² is an apocalyptic number.

It is an amenable number.

456492 is an abundant number, since it is smaller than the sum of its proper divisors (621508).

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

456492 is a wasteful number, since it uses less digits than its factorization.

456492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 456492 is about 675.6419169945. The cubic root of 456492 is about 76.9976948767.

It can be divided in two parts, 4564 and 92, that added together give a triangular number (4656 = T₉₆).

The spelling of 456492 in words is "four hundred fifty-six thousand, four hundred ninety-two".