4233913920 has 168 divisors, whose sum is σ = 15419719224. Its totient is φ = 1062617088.

The previous prime is 4233913823. The next prime is 4233913949. The reversal of 4233913920 is 293193324.

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 4149421056 = 9192^2 + 64416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5722 + ... + 92198.

It is an arithmetic number, because the mean of its divisors is an integer number (91784043).

Almost surely, 2^4233913920 is an apocalyptic number.

4233913920 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 4233913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709859612).

4233913920 is an abundant number, since it is smaller than the sum of its proper divisors (11185805304).

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

4233913920 is a wasteful number, since it uses less digits than its factorization.

4233913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86517 (or 86504 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4233913920 is about 65068.5324869095. The cubic root of 4233913920 is about 1617.7596833324.

The spelling of 4233913920 in words is "four billion, two hundred thirty-three million, nine hundred thirteen thousand, nine hundred twenty".