409969296 has 320 divisors, whose sum is σ = 1394196480. Its totient is φ = 114998400.

The previous prime is 409969279. The next prime is 409969321. The reversal of 409969296 is 692969904.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13224801 + ... + 13224831.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2^409969296 is an apocalyptic number.

409969296 is a gapful number since it is divisible by the number (46) 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 409969296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697098240).

409969296 is an abundant number, since it is smaller than the sum of its proper divisors (984227184).

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

409969296 is a wasteful number, since it uses less digits than its factorization.

409969296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 409969296 is about 20247.6985358830. The cubic root of 409969296 is about 742.8773390677.

The spelling of 409969296 in words is "four hundred nine million, nine hundred sixty-nine thousand, two hundred ninety-six".