410449671468 has 96 divisors (see below), whose sum is σ = 1096753835520. Its totient is φ = 132648062400.

The previous prime is 410449671439. The next prime is 410449671503. The reversal of 410449671468 is 864176944014.

410449671468 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 496 + 7 + 146 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 949393 + ... + 1312343.

It is an arithmetic number, because the mean of its divisors is an integer number (11424519120).

Almost surely, 2^410449671468 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 410449671468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548376917760).

410449671468 is an abundant number, since it is smaller than the sum of its proper divisors (686304164052).

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

410449671468 is a wasteful number, since it uses less digits than its factorization.

410449671468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363284 (or 363276 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 410449671468 in words is "four hundred ten billion, four hundred forty-nine million, six hundred seventy-one thousand, four hundred sixty-eight".