4259892 has 96 divisors (see below), whose sum is σ = 12644352. Its totient is φ = 1086336.

The previous prime is 4259891. The next prime is 4259903. The reversal of 4259892 is 2989524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4259892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4259891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51283 + ... + 51365.

It is an arithmetic number, because the mean of its divisors is an integer number (131712).

Almost surely, 2^4259892 is an apocalyptic number.

4259892 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 4259892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322176).

4259892 is an abundant number, since it is smaller than the sum of its proper divisors (8384460).

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

4259892 is a wasteful number, since it uses less digits than its factorization.

4259892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 4259892 is about 2063.9505808037. The cubic root of 4259892 is about 162.1061642175.

It can be divided in two parts, 4259 and 892, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 4259892 in words is "four million, two hundred fifty-nine thousand, eight hundred ninety-two".