409161840 has 40 divisors (see below), whose sum is σ = 1268402448. Its totient is φ = 109109760.

The previous prime is 409161833. The next prime is 409161859. The reversal of 409161840 is 48161904.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×409161840² = 334826822624371200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 852181 + ... + 852660.

Almost surely, 2^409161840 is an apocalyptic number.

409161840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409161840 is an abundant number, since it is smaller than the sum of its proper divisors (859240608).

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

409161840 is a wasteful number, since it uses less digits than its factorization.

409161840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704857 (or 1704851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 409161840 is about 20227.7492568995. The cubic root of 409161840 is about 742.3893065834.

The spelling of 409161840 in words is "four hundred nine million, one hundred sixty-one thousand, eight hundred forty".