405004000 has 144 divisors (see below), whose sum is σ = 1062013680. Its totient is φ = 151372800.

The previous prime is 405003953. The next prime is 405004001. The reversal of 405004000 is 400504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405004001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5547964 + ... + 5548036.

It is an arithmetic number, because the mean of its divisors is an integer number (7375095).

Almost surely, 2^405004000 is an apocalyptic number.

405004000 is a gapful number since it is divisible by the number (40) 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 405004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531006840).

405004000 is an abundant number, since it is smaller than the sum of its proper divisors (657009680).

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

405004000 is an equidigital number, since it uses as much as digits as its factorization.

405004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 405004000 is about 20124.7111780517. The cubic root of 405004000 is about 739.8660580561.

Adding to 405004000 its reverse (400504), we get a palindrome (405404504).

The spelling of 405004000 in words is "four hundred five million, four thousand".