432405648 has 160 divisors (see below), whose sum is σ = 1319360000. Its totient is φ = 135209088.

The previous prime is 432405613. The next prime is 432405653. The reversal of 432405648 is 846504234.

432405648 is a `hidden beast` number, since 4 + 3 + 2 + 4 + 0 + 5 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140723 + ... + 1141101.

It is an arithmetic number, because the mean of its divisors is an integer number (8246000).

Almost surely, 2^432405648 is an apocalyptic number.

432405648 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 432405648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659680000).

432405648 is an abundant number, since it is smaller than the sum of its proper divisors (886954352).

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

432405648 is a wasteful number, since it uses less digits than its factorization.

432405648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 432405648 is about 20794.3657753729. The cubic root of 432405648 is about 756.1891690888.

The spelling of 432405648 in words is "four hundred thirty-two million, four hundred five thousand, six hundred forty-eight".