404335790352 has 240 divisors, whose sum is σ = 1304813830320. Its totient is φ = 115776258048.

The previous prime is 404335790347. The next prime is 404335790371. The reversal of 404335790352 is 253097533404.

404335790352 is a `hidden beast` number, since 4 + 0 + 43 + 3 + 579 + 0 + 35 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47740502016 + 356595288336 = 218496^2 + 597156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404335790298 and 404335790307.

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, 2760958 + ... + 2903714.

It is an arithmetic number, because the mean of its divisors is an integer number (5436724293).

Almost surely, 2^404335790352 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 404335790352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652406915160).

404335790352 is an abundant number, since it is smaller than the sum of its proper divisors (900478039968).

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

404335790352 is a wasteful number, since it uses less digits than its factorization.

404335790352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142890 (or 142881 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 404335790352 in words is "four hundred four billion, three hundred thirty-five million, seven hundred ninety thousand, three hundred fifty-two".