404779714560 has 576 divisors, whose sum is σ = 1558241193600. Its totient is φ = 99626582016.

The previous prime is 404779714553. The next prime is 404779714571. The reversal of 404779714560 is 65417977404.

It is a happy number.

404779714560 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 7 + 9 + 71 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 404779714497 and 404779714506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46720789 + ... + 46729451.

It is an arithmetic number, because the mean of its divisors is an integer number (2705279850).

Almost surely, 2^404779714560 is an apocalyptic number.

404779714560 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 404779714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779120596800).

404779714560 is an abundant number, since it is smaller than the sum of its proper divisors (1153461479040).

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

404779714560 is a wasteful number, since it uses less digits than its factorization.

404779714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 404779714560 in words is "four hundred four billion, seven hundred seventy-nine million, seven hundred fourteen thousand, five hundred sixty".