405648432 has 160 divisors (see below), whose sum is σ = 1356341760. Its totient is φ = 113667840.

The previous prime is 405648431. The next prime is 405648469. The reversal of 405648432 is 234846504.

405648432 is a `hidden beast` number, since 4 + 0 + 5 + 648 + 4 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405648431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159007 + ... + 161537.

It is an arithmetic number, because the mean of its divisors is an integer number (8477136).

Almost surely, 2^405648432 is an apocalyptic number.

405648432 is a gapful number since it is divisible by the number (42) 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 405648432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678170880).

405648432 is an abundant number, since it is smaller than the sum of its proper divisors (950693328).

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

405648432 is a wasteful number, since it uses less digits than its factorization.

405648432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2596 counting only the distinct ones).

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

The square root of 405648432 is about 20140.7157767543. The cubic root of 405648432 is about 740.2582687501.

The spelling of 405648432 in words is "four hundred five million, six hundred forty-eight thousand, four hundred thirty-two".