409059520 has 56 divisors (see below), whose sum is σ = 977731344. Its totient is φ = 163009536.

The previous prime is 409059517. The next prime is 409059523. The reversal of 409059520 is 25950904.

It is an interprime number because it is at equal distance from previous prime (409059517) and next prime (409059523).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (409059523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88302 + ... + 92818.

Almost surely, 2^409059520 is an apocalyptic number.

409059520 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 409059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488865672).

409059520 is an abundant number, since it is smaller than the sum of its proper divisors (568671824).

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

409059520 is a wasteful number, since it uses less digits than its factorization.

409059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 409059520 is about 20225.2198999170. The cubic root of 409059520 is about 742.3274177827.

The spelling of 409059520 in words is "four hundred nine million, fifty-nine thousand, five hundred twenty".