408141384 has 48 divisors (see below), whose sum is σ = 1186945200. Its totient is φ = 116611488.

The previous prime is 408141379. The next prime is 408141407. The reversal of 408141384 is 483141804.

It is a super-3 number, since 3×408141384³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172354 + ... + 174705.

It is an arithmetic number, because the mean of its divisors is an integer number (24728025).

Almost surely, 2^408141384 is an apocalyptic number.

It is an amenable number.

408141384 is an abundant number, since it is smaller than the sum of its proper divisors (778803816).

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

408141384 is a wasteful number, since it uses less digits than its factorization.

408141384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347082 (or 347071 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 408141384 is about 20202.5093490883. The cubic root of 408141384 is about 741.7716159583.

The spelling of 408141384 in words is "four hundred eight million, one hundred forty-one thousand, three hundred eighty-four".