405642384 has 120 divisors (see below), whose sum is σ = 1354511520. Its totient is φ = 115891776.

The previous prime is 405642373. The next prime is 405642403. The reversal of 405642384 is 483246504.

405642384 is a `hidden beast` number, since 4 + 0 + 5 + 642 + 3 + 8 + 4 = 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 23 ways as a sum of consecutive naturals, for example, 11587 + ... + 30749.

It is an arithmetic number, because the mean of its divisors is an integer number (11287596).

Almost surely, 2^405642384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405642384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677255760).

405642384 is an abundant number, since it is smaller than the sum of its proper divisors (948869136).

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

405642384 is a wasteful number, since it uses less digits than its factorization.

405642384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19194 (or 19175 counting only the distinct ones).

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

The square root of 405642384 is about 20140.5656325735. The cubic root of 405642384 is about 740.2545897809.

Adding to 405642384 its reverse (483246504), we get a palindrome (888888888).

The spelling of 405642384 in words is "four hundred five million, six hundred forty-two thousand, three hundred eighty-four".