409642080 has 192 divisors, whose sum is σ = 1341204480. Its totient is φ = 105025536.

The previous prime is 409642061. The next prime is 409642099. The reversal of 409642080 is 80246904.

It is an interprime number because it is at equal distance from previous prime (409642061) and next prime (409642099).

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 31 ways as a sum of consecutive naturals, for example, 1836849 + ... + 1837071.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^409642080 is an apocalyptic number.

409642080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

409642080 is an abundant number, since it is smaller than the sum of its proper divisors (931562400).

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

409642080 is a wasteful number, since it uses less digits than its factorization.

409642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 409642080 is about 20239.6165971591. The cubic root of 409642080 is about 742.6796445460.

Adding to 409642080 its reverse (80246904), we get a palindrome (489888984).

The spelling of 409642080 in words is "four hundred nine million, six hundred forty-two thousand, eighty".