409244640 has 192 divisors, whose sum is σ = 1521192960. Its totient is φ = 90501120.

The previous prime is 409244611. The next prime is 409244659. The reversal of 409244640 is 46442904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102196 + ... + 106124.

It is an arithmetic number, because the mean of its divisors is an integer number (7922880).

Almost surely, 2^409244640 is an apocalyptic number.

409244640 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 409244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760596480).

409244640 is an abundant number, since it is smaller than the sum of its proper divisors (1111948320).

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

409244640 is a wasteful number, since it uses less digits than its factorization.

409244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 409244640 is about 20229.7958467207. The cubic root of 409244640 is about 742.4393810548.

The spelling of 409244640 in words is "four hundred nine million, two hundred forty-four thousand, six hundred forty".