409021056 has 128 divisors (see below), whose sum is σ = 1270920000. Its totient is φ = 129143808.

The previous prime is 409021033. The next prime is 409021057. The reversal of 409021056 is 650120904.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (409021057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62550 + ... + 68778.

Almost surely, 2^409021056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635460000).

409021056 is an abundant number, since it is smaller than the sum of its proper divisors (861898944).

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

409021056 is a wasteful number, since it uses less digits than its factorization.

409021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 409021056 is about 20224.2689855530. The cubic root of 409021056 is about 742.3041499570.

The spelling of 409021056 in words is "four hundred nine million, twenty-one thousand, fifty-six".