408308040 has 384 divisors, whose sum is σ = 1669973760. Its totient is φ = 87588864.

The previous prime is 408307993. The next prime is 408308051. The reversal of 408308040 is 40803804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 408307995 and 408308013.

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 95 ways as a sum of consecutive naturals, for example, 1156504 + ... + 1156856.

It is an arithmetic number, because the mean of its divisors is an integer number (4348890).

Almost surely, 2^408308040 is an apocalyptic number.

408308040 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 408308040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834986880).

408308040 is an abundant number, since it is smaller than the sum of its proper divisors (1261665720).

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

408308040 is a wasteful number, since it uses less digits than its factorization.

408308040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 408308040 is about 20206.6335642531. The cubic root of 408308040 is about 741.8725645291.

The spelling of 408308040 in words is "four hundred eight million, three hundred eight thousand, forty".