404786729952 has 576 divisors, whose sum is σ = 1336522457088. Its totient is φ = 115098624000.

The previous prime is 404786729923. The next prime is 404786729983. The reversal of 404786729952 is 259927687404.

404786729952 is a `hidden beast` number, since 4 + 0 + 478 + 6 + 72 + 9 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 404786729952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372388353 + ... + 372389439.

It is an arithmetic number, because the mean of its divisors is an integer number (2320351488).

Almost surely, 2^404786729952 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 404786729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668261228544).

404786729952 is an abundant number, since it is smaller than the sum of its proper divisors (931735727136).

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

404786729952 is a wasteful number, since it uses less digits than its factorization.

404786729952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 404786729952 in words is "four hundred four billion, seven hundred eighty-six million, seven hundred twenty-nine thousand, nine hundred fifty-two".