432256000 has 176 divisors, whose sum is σ = 1180251072. Its totient is φ = 156672000.

The previous prime is 432255983. The next prime is 432256031. The reversal of 432256000 is 652234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1407847 + ... + 1408153.

It is an arithmetic number, because the mean of its divisors is an integer number (6705972).

Almost surely, 2^432256000 is an apocalyptic number.

432256000 is a gapful number since it is divisible by the number (40) 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 432256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590125536).

432256000 is an abundant number, since it is smaller than the sum of its proper divisors (747995072).

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

432256000 is a wasteful number, since it uses less digits than its factorization.

432256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 432256000 is about 20790.7671816121. The cubic root of 432256000 is about 756.1019244268.

It can be divided in two parts, 432 and 256000, that multiplied together give a cube (110592000 = 480³).

The spelling of 432256000 in words is "four hundred thirty-two million, two hundred fifty-six thousand".