409248842904 has 128 divisors (see below), whose sum is σ = 1247317747200. Its totient is φ = 123297828480.

The previous prime is 409248842903. The next prime is 409248842923.

It is a happy number.

409248842904 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409248842903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86764 + ... + 908859.

It is an arithmetic number, because the mean of its divisors is an integer number (9744669900).

Almost surely, 2^409248842904 is an apocalyptic number.

409248842904 is a gapful number since it is divisible by the number (44) 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 409248842904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623658873600).

409248842904 is an abundant number, since it is smaller than the sum of its proper divisors (838068904296).

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

409248842904 is a wasteful number, since it uses less digits than its factorization.

409248842904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995822 (or 995812 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 409248842904 in words is "four hundred nine billion, two hundred forty-eight million, eight hundred forty-two thousand, nine hundred four".