432282240 has 384 divisors, whose sum is σ = 1684126080. Its totient is φ = 101376000.

The previous prime is 432282223. The next prime is 432282269. The reversal of 432282240 is 42282234.

432282240 is a `hidden beast` number, since 432 + 2 + 8 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722115 + ... + 1722365.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^432282240 is an apocalyptic number.

432282240 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 432282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

432282240 is an abundant number, since it is smaller than the sum of its proper divisors (1251843840).

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

432282240 is a wasteful number, since it uses less digits than its factorization.

432282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 432282240 is about 20791.3982213799. The cubic root of 432282240 is about 756.1172237811.

The spelling of 432282240 in words is "four hundred thirty-two million, two hundred eighty-two thousand, two hundred forty".