405424404 has 144 divisors (see below), whose sum is σ = 1333463040. Its totient is φ = 100710720.

The previous prime is 405424367. The next prime is 405424457. The reversal of 405424404 is 404424504.

It is a happy number.

It is a congruent number.

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, 60577 + ... + 66935.

It is an arithmetic number, because the mean of its divisors is an integer number (9260160).

Almost surely, 2^405424404 is an apocalyptic number.

405424404 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 405424404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666731520).

405424404 is an abundant number, since it is smaller than the sum of its proper divisors (928038636).

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

405424404 is a wasteful number, since it uses less digits than its factorization.

405424404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 405424404 is about 20135.1534387002. The cubic root of 405424404 is about 740.1219691821.

Adding to 405424404 its reverse (404424504), we get a palindrome (809848908).

The spelling of 405424404 in words is "four hundred five million, four hundred twenty-four thousand, four hundred four".