405136424 has 64 divisors (see below), whose sum is σ = 951350400. Its totient is φ = 157132800.

The previous prime is 405136397. The next prime is 405136447. The reversal of 405136424 is 424631504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147092 + ... + 149820.

It is an arithmetic number, because the mean of its divisors is an integer number (14864850).

Almost surely, 2^405136424 is an apocalyptic number.

405136424 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 405136424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475675200).

405136424 is an abundant number, since it is smaller than the sum of its proper divisors (546213976).

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

405136424 is a wasteful number, since it uses less digits than its factorization.

405136424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 405136424 is about 20128.0009936407. Note that the first 3 decimals coincide. The cubic root of 405136424 is about 739.9466871745.

Adding to 405136424 its reverse (424631504), we get a palindrome (829767928).

The spelling of 405136424 in words is "four hundred five million, one hundred thirty-six thousand, four hundred twenty-four".