409760449056 has 864 divisors, whose sum is σ = 1489883492160. Its totient is φ = 110577519360.

The previous prime is 409760449051. The next prime is 409760449073. The reversal of 409760449056 is 650944067904.

It is a happy number.

409760449056 is a `hidden beast` number, since 4 + 0 + 97 + 60 + 4 + 490 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×409760449056² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 409760448993 and 409760449011.

It is not an unprimeable number, because it can be changed into a prime (409760449051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1237946811 + ... + 1237947141.

It is an arithmetic number, because the mean of its divisors is an integer number (1724402190).

Almost surely, 2^409760449056 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 409760449056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744941746080).

409760449056 is an abundant number, since it is smaller than the sum of its proper divisors (1080123043104).

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

409760449056 is an equidigital number, since it uses as much as digits as its factorization.

409760449056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 409760449056 in words is "four hundred nine billion, seven hundred sixty million, four hundred forty-nine thousand, fifty-six".