405048384 has 336 divisors, whose sum is σ = 1375867200. Its totient is φ = 116453376.

The previous prime is 405048379. The next prime is 405048401. The reversal of 405048384 is 483840504.

It is a super-2 number, since 2×405048384² = 328128386762022912, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5548572 + ... + 5548644.

Almost surely, 2^405048384 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 405048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687933600).

405048384 is an abundant number, since it is smaller than the sum of its proper divisors (970818816).

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

405048384 is a wasteful number, since it uses less digits than its factorization.

405048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 405048384 is about 20125.8138717419. The cubic root of 405048384 is about 739.8930841395.

Adding to 405048384 its reverse (483840504), we get a palindrome (888888888).

The spelling of 405048384 in words is "four hundred five million, forty-eight thousand, three hundred eighty-four".