4268792 has 32 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1922400.

The previous prime is 4268791. The next prime is 4268809. The reversal of 4268792 is 2978624.

It is a super-3 number, since 3×4268792³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 4⁵ + 2¹⁶ + 6⁵ + 8² + 7 + 9² + 2²² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15617 + ... + 15887.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^4268792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

4268792 is an abundant number, since it is smaller than the sum of its proper divisors (4544008).

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

4268792 is a wasteful number, since it uses less digits than its factorization.

4268792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 4268792 is about 2066.1055152146. The cubic root of 4268792 is about 162.2189793838.

The spelling of 4268792 in words is "four million, two hundred sixty-eight thousand, seven hundred ninety-two".