4093883904 has 160 divisors (see below), whose sum is σ = 12020659200. Its totient is φ = 1227776000.

The previous prime is 4093883897. The next prime is 4093883923.

4093883904 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705297 + ... + 1707695.

It is an arithmetic number, because the mean of its divisors is an integer number (75129120).

Almost surely, 2^4093883904 is an apocalyptic number.

4093883904 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 4093883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010329600).

4093883904 is an abundant number, since it is smaller than the sum of its proper divisors (7926775296).

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

4093883904 is a wasteful number, since it uses less digits than its factorization.

4093883904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4093883904 is about 63983.4658642371. The cubic root of 4093883904 is about 1599.7244192039.

The spelling of 4093883904 in words is "four billion, ninety-three million, eight hundred eighty-three thousand, nine hundred four".