1006433352 has 96 divisors (see below), whose sum is σ = 2826869760. Its totient is φ = 323136000.

The previous prime is 1006433347. The next prime is 1006433359. The reversal of 1006433352 is 2533346001.

It is a happy number.

1006433352 is a `hidden beast` number, since 10 + 0 + 643 + 3 + 3 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1006433359) 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, 536977 + ... + 538847.

It is an arithmetic number, because the mean of its divisors is an integer number (29446560).

Almost surely, 2^1006433352 is an apocalyptic number.

1006433352 is a gapful number since it is divisible by the number (12) 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 1006433352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413434880).

1006433352 is an abundant number, since it is smaller than the sum of its proper divisors (1820436408).

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

1006433352 is a wasteful number, since it uses less digits than its factorization.

1006433352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1006433352 is about 31724.3337518694. Note that the first 3 decimals coincide. The cubic root of 1006433352 is about 1002.1398683639.

Adding to 1006433352 its reverse (2533346001), we get a palindrome (3539779353).

The spelling of 1006433352 in words is "one billion, six million, four hundred thirty-three thousand, three hundred fifty-two".