408005440 has 112 divisors (see below), whose sum is σ = 1036929600. Its totient is φ = 152379392.

The previous prime is 408005431. The next prime is 408005447. The reversal of 408005440 is 44500804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408005447) by changing a digit.

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, 973551 + ... + 973969.

It is an arithmetic number, because the mean of its divisors is an integer number (9258300).

Almost surely, 2^408005440 is an apocalyptic number.

408005440 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 408005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518464800).

408005440 is an abundant number, since it is smaller than the sum of its proper divisors (628924160).

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

408005440 is a wasteful number, since it uses less digits than its factorization.

408005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 408005440 is about 20199.1445363411. The cubic root of 408005440 is about 741.6892502206.

The spelling of 408005440 in words is "four hundred eight million, five thousand, four hundred forty".