409221024 has 48 divisors (see below), whose sum is σ = 1099197792. Its totient is φ = 133233408.

The previous prime is 409221017. The next prime is 409221053. The reversal of 409221024 is 420122904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 409220985 and 409221003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45439 + ... + 53694.

It is an arithmetic number, because the mean of its divisors is an integer number (22899954).

Almost surely, 2^409221024 is an apocalyptic number.

It is an amenable number.

409221024 is an abundant number, since it is smaller than the sum of its proper divisors (689976768).

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

409221024 is a wasteful number, since it uses less digits than its factorization.

409221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99189 (or 99181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 409221024 is about 20229.2121448167. The cubic root of 409221024 is about 742.4250996332.

Adding to 409221024 its reverse (420122904), we get a palindrome (829343928).

The spelling of 409221024 in words is "four hundred nine million, two hundred twenty-one thousand, twenty-four".