432713996100 has 135 divisors (see below), whose sum is σ = 1402879765287. Its totient is φ = 115374611520.

The previous prime is 432713996089. The next prime is 432713996111. The reversal of 432713996100 is 1699317234.

The square root of 432713996100 is 657810.

It is a perfect power (a square), and thus also a powerful number.

432713996100 is a `hidden beast` number, since 4 + 3 + 27 + 1 + 3 + 9 + 9 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (432713996089) and next prime (432713996111).

It can be written as a sum of positive squares in 4 ways, for example, as 17091378756 + 415622617344 = 130734^2 + 644688^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59199246 + ... + 59206554.

Almost surely, 2^432713996100 is an apocalyptic number.

432713996100 is the 657810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432713996100

432713996100 is an abundant number, since it is smaller than the sum of its proper divisors (970165769187).

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

432713996100 is an frugal number, since it uses more digits than its factorization.

432713996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 432713996100 in words is "four hundred thirty-two billion, seven hundred thirteen million, nine hundred ninety-six thousand, one hundred".