4083793920 has 360 divisors, whose sum is σ = 14721557760. Its totient is φ = 1045954560.

The previous prime is 4083793913. The next prime is 4083793921. The reversal of 4083793920 is 293973804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083793921) 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, 21381025 + ... + 21381215.

It is an arithmetic number, because the mean of its divisors is an integer number (40893216).

Almost surely, 2^4083793920 is an apocalyptic number.

4083793920 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 4083793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360778880).

4083793920 is an abundant number, since it is smaller than the sum of its proper divisors (10637763840).

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

4083793920 is a wasteful number, since it uses less digits than its factorization.

4083793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4083793920 is about 63904.5688507481. The cubic root of 4083793920 is about 1598.4090853100.

The spelling of 4083793920 in words is "four billion, eighty-three million, seven hundred ninety-three thousand, nine hundred twenty".