409051136 has 112 divisors (see below), whose sum is σ = 924787584. Its totient is φ = 179503104.

The previous prime is 409051121. The next prime is 409051241. The reversal of 409051136 is 631150904.

It is a junction number, because it is equal to n+sod(n) for n = 409051099 and 409051108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2449325 + ... + 2449491.

It is an arithmetic number, because the mean of its divisors is an integer number (8257032).

Almost surely, 2^409051136 is an apocalyptic number.

409051136 is a gapful number since it is divisible by the number (46) 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 409051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462393792).

409051136 is an abundant number, since it is smaller than the sum of its proper divisors (515736448).

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

409051136 is a wasteful number, since it uses less digits than its factorization.

409051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 409051136 is about 20225.0126328762. The cubic root of 409051136 is about 742.3223462179.

The spelling of 409051136 in words is "four hundred nine million, fifty-one thousand, one hundred thirty-six".