432027648 has 192 divisors, whose sum is σ = 1380506400. Its totient is φ = 132710400.

The previous prime is 432027641. The next prime is 432027667. The reversal of 432027648 is 846720234.

432027648 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 2 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432027641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718548 + ... + 719148.

Almost surely, 2^432027648 is an apocalyptic number.

432027648 is a gapful number since it is divisible by the number (48) 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 432027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690253200).

432027648 is an abundant number, since it is smaller than the sum of its proper divisors (948478752).

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

432027648 is a wasteful number, since it uses less digits than its factorization.

432027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 432027648 is about 20785.2747876953. The cubic root of 432027648 is about 755.9687565823.

The spelling of 432027648 in words is "four hundred thirty-two million, twenty-seven thousand, six hundred forty-eight".