408138144 has 48 divisors (see below), whose sum is σ = 1076493600. Its totient is φ = 135394560.

The previous prime is 408138113. The next prime is 408138163. The reversal of 408138144 is 441831804.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×408138144³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10182 + ... + 30330.

It is an arithmetic number, because the mean of its divisors is an integer number (22426950).

Almost surely, 2^408138144 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 408138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538246800).

408138144 is an abundant number, since it is smaller than the sum of its proper divisors (668355456).

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

408138144 is a wasteful number, since it uses less digits than its factorization.

408138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20373 (or 20365 counting only the distinct ones).

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

The square root of 408138144 is about 20202.4291608707. The cubic root of 408138144 is about 741.7696531202.

Adding to 408138144 its reverse (441831804), we get a palindrome (849969948).

The spelling of 408138144 in words is "four hundred eight million, one hundred thirty-eight thousand, one hundred forty-four".