4046624232 has 288 divisors, whose sum is σ = 12728145600. Its totient is φ = 1066813440.

The previous prime is 4046624227. The next prime is 4046624233. The reversal of 4046624232 is 2324266404.

4046624232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4046624193 and 4046624202.

It is not an unprimeable number, because it can be changed into a prime (4046624233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45467644 + ... + 45467732.

It is an arithmetic number, because the mean of its divisors is an integer number (44194950).

Almost surely, 2^4046624232 is an apocalyptic number.

4046624232 is a gapful number since it is divisible by the number (42) 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 4046624232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364072800).

4046624232 is an abundant number, since it is smaller than the sum of its proper divisors (8681521368).

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

4046624232 is a wasteful number, since it uses less digits than its factorization.

4046624232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 4046624232 is about 63613.0822394262. The cubic root of 4046624232 is about 1593.5448555084.

The spelling of 4046624232 in words is "four billion, forty-six million, six hundred twenty-four thousand, two hundred thirty-two".