409915072 has 56 divisors (see below), whose sum is σ = 931728896. Its totient is φ = 175281408.

The previous prime is 409915069. The next prime is 409915081. The reversal of 409915072 is 270519904.

It is a tau number, because it is divible by the number of its divisors (56).

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, 287353 + ... + 288775.

It is an arithmetic number, because the mean of its divisors is an integer number (16638016).

Almost surely, 2^409915072 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 409915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465864448).

409915072 is an abundant number, since it is smaller than the sum of its proper divisors (521813824).

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

409915072 is a wasteful number, since it uses less digits than its factorization.

409915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 409915072 is about 20246.3594752242. The cubic root of 409915072 is about 742.8445857556.

The spelling of 409915072 in words is "four hundred nine million, nine hundred fifteen thousand, seventy-two".