405032424 has 64 divisors (see below), whose sum is σ = 1076980800. Its totient is φ = 126572544.

The previous prime is 405032389. The next prime is 405032449. The reversal of 405032424 is 424230504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 405032394 and 405032403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39654 + ... + 48810.

It is an arithmetic number, because the mean of its divisors is an integer number (16827825).

Almost surely, 2^405032424 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 405032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538490400).

405032424 is an abundant number, since it is smaller than the sum of its proper divisors (671948376).

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

405032424 is a wasteful number, since it uses less digits than its factorization.

405032424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 405032424 is about 20125.4173621319. The cubic root of 405032424 is about 739.8833660834.

Adding to 405032424 its reverse (424230504), we get a palindrome (829262928).

The spelling of 405032424 in words is "four hundred five million, thirty-two thousand, four hundred twenty-four".