408105128 has 32 divisors (see below), whose sum is σ = 823507560. Its totient is φ = 188897280.

The previous prime is 408105127. The next prime is 408105149. The reversal of 408105128 is 821501804.

408105128 = T₃₈₂ + T₃₈₃ + ... + T₁₃₅₇.

It can be written as a sum of positive squares in 4 ways, for example, as 311240164 + 96864964 = 17642^2 + 9842^2 .

It is a super-3 number, since 3×408105128³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408105128.

It is not an unprimeable number, because it can be changed into a prime (408105127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16301 + ... + 32892.

Almost surely, 2^408105128 is an apocalyptic number.

It is an amenable number.

408105128 is an abundant number, since it is smaller than the sum of its proper divisors (415402432).

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

408105128 is a wasteful number, since it uses less digits than its factorization.

408105128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49277 (or 49273 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 408105128 is about 20201.6120148863. The cubic root of 408105128 is about 741.7496509652.

The spelling of 408105128 in words is "four hundred eight million, one hundred five thousand, one hundred twenty-eight".