409226040 has 256 divisors, whose sum is σ = 1492992000. Its totient is φ = 99256320.

The previous prime is 409226033. The next prime is 409226063. The reversal of 409226040 is 40622904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 409225995 and 409226013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568801 + ... + 569519.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^409226040 is an apocalyptic number.

409226040 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 409226040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

409226040 is an abundant number, since it is smaller than the sum of its proper divisors (1083765960).

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

409226040 is a wasteful number, since it uses less digits than its factorization.

409226040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 409226040 is about 20229.3361235608. The cubic root of 409226040 is about 742.4281330299.

Adding to 409226040 its reverse (40622904), we get a palindrome (449848944).

The spelling of 409226040 in words is "four hundred nine million, two hundred twenty-six thousand, forty".