409116384 has 72 divisors (see below), whose sum is σ = 1183192920. Its totient is φ = 134055168.

The previous prime is 409116371. The next prime is 409116391. The reversal of 409116384 is 483611904.

409116384 is a `hidden beast` number, since 4 + 0 + 9 + 11 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×409116384³ (a number of 27 digits) contains 333 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 4954 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (16433235).

Almost surely, 2^409116384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591596460).

409116384 is an abundant number, since it is smaller than the sum of its proper divisors (774076536).

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

409116384 is a wasteful number, since it uses less digits than its factorization.

409116384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 24141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 409116384 is about 20226.6256207010. The cubic root of 409116384 is about 742.3618135519.

The spelling of 409116384 in words is "four hundred nine million, one hundred sixteen thousand, three hundred eighty-four".