408259120 has 20 divisors (see below), whose sum is σ = 949202640. Its totient is φ = 163303616.

The previous prime is 408259081. The next prime is 408259121. The reversal of 408259120 is 21952804.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (408259121) 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 3 ways as a sum of consecutive naturals, for example, 2551540 + ... + 2551699.

It is an arithmetic number, because the mean of its divisors is an integer number (47460132).

Almost surely, 2^408259120 is an apocalyptic number.

408259120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408259120 is an abundant number, since it is smaller than the sum of its proper divisors (540943520).

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

408259120 is a wasteful number, since it uses less digits than its factorization.

408259120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103252 (or 5103246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 408259120 is about 20205.4230344232. The cubic root of 408259120 is about 741.8429350568.

The spelling of 408259120 in words is "four hundred eight million, two hundred fifty-nine thousand, one hundred twenty".