432253651600 has 135 divisors (see below), whose sum is σ = 1055601924969. Its totient is φ = 170098051200.

The previous prime is 432253651597. The next prime is 432253651601. The reversal of 432253651600 is 6156352234.

The square root of 432253651600 is 657460.

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

It can be written as a sum of positive squares in only one way, i.e., 155611314576 + 276642337024 = 394476^2 + 525968^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432253651600.

It is not an unprimeable number, because it can be changed into a prime (432253651601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 933592969 + ... + 933593431.

Almost surely, 2^432253651600 is an apocalyptic number.

432253651600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

432253651600 is the 657460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432253651600

432253651600 is an abundant number, since it is smaller than the sum of its proper divisors (623348273369).

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

432253651600 is an frugal number, since it uses more digits than its factorization.

432253651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 432253651600 in words is "four hundred thirty-two billion, two hundred fifty-three million, six hundred fifty-one thousand, six hundred".