409293408 has 96 divisors (see below), whose sum is σ = 1122115680. Its totient is φ = 130498560.

The previous prime is 409293397. The next prime is 409293439. The reversal of 409293408 is 804392904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 215728 + ... + 217616.

It is an arithmetic number, because the mean of its divisors is an integer number (11688705).

Almost surely, 2^409293408 is an apocalyptic number.

409293408 is a gapful number since it is divisible by the number (48) 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 409293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

409293408 is an abundant number, since it is smaller than the sum of its proper divisors (712822272).

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

409293408 is a wasteful number, since it uses less digits than its factorization.

409293408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 409293408 is about 20231.0011615837. The cubic root of 409293408 is about 742.4688710322.

The spelling of 409293408 in words is "four hundred nine million, two hundred ninety-three thousand, four hundred eight".