409923072 has 160 divisors (see below), whose sum is σ = 1307312160. Its totient is φ = 126074880.

The previous prime is 409923071. The next prime is 409923079. The reversal of 409923072 is 270329904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409923071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178572 + ... + 180852.

It is an arithmetic number, because the mean of its divisors is an integer number (8170701).

Almost surely, 2^409923072 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 409923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653656080).

409923072 is an abundant number, since it is smaller than the sum of its proper divisors (897389088).

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

409923072 is a wasteful number, since it uses less digits than its factorization.

409923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 409923072 is about 20246.5570406427. The cubic root of 409923072 is about 742.8494182347.

The spelling of 409923072 in words is "four hundred nine million, nine hundred twenty-three thousand, seventy-two".