4532892 has 72 divisors (see below), whose sum is σ = 13272336. Its totient is φ = 1193472.

The previous prime is 4532831. The next prime is 4532893. The reversal of 4532892 is 2982354.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7348 + ... + 7940.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 2^4532892 is an apocalyptic number.

4532892 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636168).

4532892 is an abundant number, since it is smaller than the sum of its proper divisors (8739444).

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

4532892 is a wasteful number, since it uses less digits than its factorization.

4532892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4532892 is about 2129.0589470468. The cubic root of 4532892 is about 165.4976344651.

The spelling of 4532892 in words is "four million, five hundred thirty-two thousand, eight hundred ninety-two".