409042944 has 192 divisors, whose sum is σ = 1260893400. Its totient is φ = 127401984.

The previous prime is 409042939. The next prime is 409042957. The reversal of 409042944 is 449240904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×409042944² = 334632260072374272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 409042899 and 409042908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5603292 + ... + 5603364.

Almost surely, 2^409042944 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 409042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630446700).

409042944 is an abundant number, since it is smaller than the sum of its proper divisors (851850456).

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

409042944 is an equidigital number, since it uses as much as digits as its factorization.

409042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409042944 is about 20224.8101103570. The cubic root of 409042944 is about 742.3173907289.

The spelling of 409042944 in words is "four hundred nine million, forty-two thousand, nine hundred forty-four".