4292864 has 36 divisors (see below), whose sum is σ = 8799420. Its totient is φ = 2088960.

The previous prime is 4292863. The next prime is 4292867. The reversal of 4292864 is 4682924.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 2310400 = 1408^2 + 1520^2 .

It is not an unprimeable number, because it can be changed into a prime (4292861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10292 + ... + 10700.

Almost surely, 2^4292864 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 4292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399710).

4292864 is an abundant number, since it is smaller than the sum of its proper divisors (4506556).

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

4292864 is an equidigital number, since it uses as much as digits as its factorization.

4292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 4292864 is about 2071.9227784838. The cubic root of 4292864 is about 162.5233291950.

The spelling of 4292864 in words is "four million, two hundred ninety-two thousand, eight hundred sixty-four".