4193904 has 120 divisors (see below), whose sum is σ = 13070592. Its totient is φ = 1148160.

The previous prime is 4193869. The next prime is 4193909. The reversal of 4193904 is 4093914.

It is a super-2 number, since 2×4193904² = 35177661522432, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4193909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89209 + ... + 89255.

Almost surely, 2^4193904 is an apocalyptic number.

4193904 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 4193904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535296).

4193904 is an abundant number, since it is smaller than the sum of its proper divisors (8876688).

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

4193904 is a wasteful number, since it uses less digits than its factorization.

4193904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 4193904 is about 2047.9023414216. The cubic root of 4193904 is about 161.2647675917.

The spelling of 4193904 in words is "four million, one hundred ninety-three thousand, nine hundred four".