404849914560 has 1792 divisors, whose sum is σ = 1898323660800. Its totient is φ = 78829977600.

The previous prime is 404849914559. The next prime is 404849914561. The reversal of 404849914560 is 65419948404.

404849914560 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 499 + 145 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (404849914559) and next prime (404849914561).

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 = 404849914497 and 404849914506.

It is not an unprimeable number, because it can be changed into a prime (404849914561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 612480630 + ... + 612481290.

It is an arithmetic number, because the mean of its divisors is an integer number (1059332400).

Almost surely, 2^404849914560 is an apocalyptic number.

404849914560 is a gapful number since it is divisible by the number (40) 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 404849914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949161830400).

404849914560 is an abundant number, since it is smaller than the sum of its proper divisors (1493473746240).

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

404849914560 is a wasteful number, since it uses less digits than its factorization.

404849914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 404849914560 in words is "four hundred four billion, eight hundred forty-nine million, nine hundred fourteen thousand, five hundred sixty".