450892 has 36 divisors (see below), whose sum is σ = 922320. Its totient is φ = 192192.

The previous prime is 450887. The next prime is 450893. The reversal of 450892 is 298054.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 450892.

It is not an unprimeable number, because it can be changed into a prime (450893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15534 + ... + 15562.

It is an arithmetic number, because the mean of its divisors is an integer number (25620).

2⁴⁵⁰⁸⁹² is an apocalyptic number.

It is an amenable number.

450892 is an abundant number, since it is smaller than the sum of its proper divisors (471428).

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

450892 is a wasteful number, since it uses less digits than its factorization.

450892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 450892 is about 671.4849216475. The cubic root of 450892 is about 76.6815430069.

It can be divided in two parts, 4508 and 92, that multiplied together give a square (414736 = 644²).

The spelling of 450892 in words is "four hundred fifty thousand, eight hundred ninety-two".