409221120 has 384 divisors, whose sum is σ = 1641669120. Its totient is φ = 84541440.

The previous prime is 409221119. The next prime is 409221157. The reversal of 409221120 is 21122904.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365354 + ... + 2365526.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^409221120 is an apocalyptic number.

409221120 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 409221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820834560).

409221120 is an abundant number, since it is smaller than the sum of its proper divisors (1232448000).

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

409221120 is a wasteful number, since it uses less digits than its factorization.

409221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 409221120 is about 20229.2145176228. The cubic root of 409221120 is about 742.4251576889.

The spelling of 409221120 in words is "four hundred nine million, two hundred twenty-one thousand, one hundred twenty".