432656448 has 112 divisors (see below), whose sum is σ = 1377208320. Its totient is φ = 117103104.

The previous prime is 432656431. The next prime is 432656459. The reversal of 432656448 is 844656234.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 17065 + ... + 34007.

Almost surely, 2^432656448 is an apocalyptic number.

432656448 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 432656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688604160).

432656448 is an abundant number, since it is smaller than the sum of its proper divisors (944551872).

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

432656448 is a wasteful number, since it uses less digits than its factorization.

432656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984 (or 16974 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 432656448 is about 20800.3953808575. The cubic root of 432656448 is about 756.3353401587.

The spelling of 432656448 in words is "four hundred thirty-two million, six hundred fifty-six thousand, four hundred forty-eight".