4292904 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1056000.

The previous prime is 4292903. The next prime is 4292921. The reversal of 4292904 is 4092924.

It is not an unprimeable number, because it can be changed into a prime (4292903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42454 + ... + 42554.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 2^4292904 is an apocalyptic number.

4292904 is a gapful number since it is divisible by the number (44) 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 4292904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4292904 is an abundant number, since it is smaller than the sum of its proper divisors (9807576).

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

4292904 is a wasteful number, since it uses less digits than its factorization.

4292904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4292904 is about 2071.9324313307. The cubic root of 4292904 is about 162.5238339794.

It can be divided in two parts, 429 and 2904, that added together give a palindrome (3333).

The spelling of 4292904 in words is "four million, two hundred ninety-two thousand, nine hundred four".