409297420 has 96 divisors (see below), whose sum is σ = 1038643200. Its totient is φ = 132447744.

The previous prime is 409297391. The next prime is 409297481. The reversal of 409297420 is 24792904.

It is a self number, because there is not a number n which added to its sum of digits gives 409297420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253576 + ... + 255184.

It is an arithmetic number, because the mean of its divisors is an integer number (10819200).

Almost surely, 2^409297420 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 409297420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519321600).

409297420 is an abundant number, since it is smaller than the sum of its proper divisors (629345780).

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

409297420 is a wasteful number, since it uses less digits than its factorization.

409297420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 409297420 is about 20231.1003160975. The cubic root of 409297420 is about 742.4712969817.

The spelling of 409297420 in words is "four hundred nine million, two hundred ninety-seven thousand, four hundred twenty".