409001740 has 48 divisors (see below), whose sum is σ = 986755392. Its totient is φ = 139493376.

The previous prime is 409001731. The next prime is 409001741. The reversal of 409001740 is 47100904.

It is not an unprimeable number, because it can be changed into a prime (409001741) 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, 19452 + ... + 34588.

It is an arithmetic number, because the mean of its divisors is an integer number (20557404).

Almost surely, 2^409001740 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 409001740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493377696).

409001740 is an abundant number, since it is smaller than the sum of its proper divisors (577753652).

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

409001740 is a wasteful number, since it uses less digits than its factorization.

409001740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15344 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 409001740 is about 20223.7914348423. The cubic root of 409001740 is about 742.2924646803.

The spelling of 409001740 in words is "four hundred nine million, one thousand, seven hundred forty".