1006438433 has 72 divisors (see below), whose sum is σ = 1401926400. Its totient is φ = 706717440.

The previous prime is 1006438429. The next prime is 1006438457. The reversal of 1006438433 is 3348346001.

1006438433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006438433 - 2² = 1006438429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006438433.

It is not an unprimeable number, because it can be changed into a prime (1006432433) 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, 11308253 + ... + 11308341.

It is an arithmetic number, because the mean of its divisors is an integer number (19471200).

Almost surely, 2^1006438433 is an apocalyptic number.

1006438433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1006438433 is a deficient number, since it is larger than the sum of its proper divisors (395487967).

1006438433 is a wasteful number, since it uses less digits than its factorization.

1006438433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1006438433 is about 31724.4138322523. The cubic root of 1006438433 is about 1002.1415548025.

The spelling of 1006438433 in words is "one billion, six million, four hundred thirty-eight thousand, four hundred thirty-three".