408400128 has 54 divisors (see below), whose sum is σ = 1177524894. Its totient is φ = 136132608.

The previous prime is 408400099. The next prime is 408400133. The reversal of 408400128 is 821004804.

It can be written as a sum of positive squares in only one way, i.e., 408363264 + 36864 = 20208^2 + 192^2 .

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 5 ways as a sum of consecutive naturals, for example, 86325 + ... + 90932.

Almost surely, 2^408400128 is an apocalyptic number.

408400128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408400128 is an abundant number, since it is smaller than the sum of its proper divisors (769124766).

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

408400128 is a wasteful number, since it uses less digits than its factorization.

408400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177279 (or 177262 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 408400128 is about 20208.9120934305. The cubic root of 408400128 is about 741.9283332288.

The spelling of 408400128 in words is "four hundred eight million, four hundred thousand, one hundred twenty-eight".