408119440 has 20 divisors (see below), whose sum is σ = 948877884. Its totient is φ = 163247744.

The previous prime is 408119419. The next prime is 408119447. The reversal of 408119440 is 44911804.

It can be written as a sum of positive squares in 2 ways, for example, as 79495056 + 328624384 = 8916^2 + 18128^2 .

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

It is a super-2 number, since 2×408119440² = 333122954611827200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408119447) 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, 2550667 + ... + 2550826.

Almost surely, 2^408119440 is an apocalyptic number.

408119440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408119440 is an abundant number, since it is smaller than the sum of its proper divisors (540758444).

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

408119440 is a wasteful number, since it uses less digits than its factorization.

408119440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101506 (or 5101500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 408119440 is about 20201.9662409380. The cubic root of 408119440 is about 741.7583217677.

The spelling of 408119440 in words is "four hundred eight million, one hundred nineteen thousand, four hundred forty".