4292000 has 96 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1612800.

The previous prime is 4291979. The next prime is 4292009. The reversal of 4292000 is 2924.

It can be written as a sum of positive squares in 8 ways, for example, as 712336 + 3579664 = 844^2 + 1892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4292000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115982 + ... + 116018.

Almost surely, 2^4292000 is an apocalyptic number.

4292000 is a gapful number since it is divisible by the number (40) 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 4292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

4292000 is an abundant number, since it is smaller than the sum of its proper divisors (6911920).

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

4292000 is a wasteful number, since it uses less digits than its factorization.

4292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4292000 is about 2071.7142660126. The cubic root of 4292000 is about 162.5124250854.

Adding to 4292000 its reverse (2924), we get a palindrome (4294924).

The spelling of 4292000 in words is "four million, two hundred ninety-two thousand".