408389040 has 400 divisors, whose sum is σ = 1555614720. Its totient is φ = 98910720.

The previous prime is 408389027. The next prime is 408389087. The reversal of 408389040 is 40983804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408388986 and 408389004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3816667 + ... + 3816773.

Almost surely, 2^408389040 is an apocalyptic number.

408389040 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 408389040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

408389040 is an abundant number, since it is smaller than the sum of its proper divisors (1147225680).

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

408389040 is a wasteful number, since it uses less digits than its factorization.

408389040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 408389040 is about 20208.6377571572. The cubic root of 408389040 is about 741.9216187551.

The spelling of 408389040 in words is "four hundred eight million, three hundred eighty-nine thousand, forty".