405140384 has 48 divisors (see below), whose sum is σ = 875792736. Its totient is φ = 182956800.

The previous prime is 405140383. The next prime is 405140443. The reversal of 405140384 is 483041504.

It is not an unprimeable number, because it can be changed into a prime (405140383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51599 + ... + 58929.

It is an arithmetic number, because the mean of its divisors is an integer number (18245682).

Almost surely, 2^405140384 is an apocalyptic number.

405140384 is a gapful number since it is divisible by the number (44) 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 405140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437896368).

405140384 is an abundant number, since it is smaller than the sum of its proper divisors (470652352).

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

405140384 is a wasteful number, since it uses less digits than its factorization.

405140384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 405140384 is about 20128.0993638247. The cubic root of 405140384 is about 739.9490980327.

Adding to 405140384 its reverse (483041504), we get a palindrome (888181888).

The spelling of 405140384 in words is "four hundred five million, one hundred forty thousand, three hundred eighty-four".