4296906432 has 420 divisors, whose sum is σ = 15538155360. Its totient is φ = 1128508416.

The previous prime is 4296906421. The next prime is 4296906461. The reversal of 4296906432 is 2346096924.

4296906432 is a `hidden beast` number, since 42 + 96 + 90 + 6 + 432 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17978569 + ... + 17978807.

It is an arithmetic number, because the mean of its divisors is an integer number (36995608).

Almost surely, 2^4296906432 is an apocalyptic number.

4296906432 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 4296906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769077680).

4296906432 is an abundant number, since it is smaller than the sum of its proper divisors (11241248928).

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

4296906432 is a wasteful number, since it uses less digits than its factorization.

4296906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4296906432 is about 65550.7927640849. The cubic root of 4296906432 is about 1625.7432726942.

The spelling of 4296906432 in words is "four billion, two hundred ninety-six million, nine hundred six thousand, four hundred thirty-two".