408379440 has 320 divisors, whose sum is σ = 1559900160. Its totient is φ = 86261760.

The previous prime is 408379429. The next prime is 408379453. The reversal of 408379440 is 44973804.

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 63 ways as a sum of consecutive naturals, for example, 2256150 + ... + 2256330.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^408379440 is an apocalyptic number.

408379440 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 408379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

408379440 is an abundant number, since it is smaller than the sum of its proper divisors (1151520720).

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

408379440 is a wasteful number, since it uses less digits than its factorization.

408379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 408379440 is about 20208.4002335662. The cubic root of 408379440 is about 741.9158052597.

The spelling of 408379440 in words is "four hundred eight million, three hundred seventy-nine thousand, four hundred forty".