404915934852 has 192 divisors, whose sum is σ = 1238851461120. Its totient is φ = 112754332800.

The previous prime is 404915934833. The next prime is 404915934859. The reversal of 404915934852 is 258439519404.

It is a happy number.

404915934852 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 1 + 593 + 48 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (404915934859) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3385227 + ... + 3502797.

It is an arithmetic number, because the mean of its divisors is an integer number (6452351360).

Almost surely, 2^404915934852 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 404915934852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619425730560).

404915934852 is an abundant number, since it is smaller than the sum of its proper divisors (833935526268).

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

404915934852 is a wasteful number, since it uses less digits than its factorization.

404915934852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117831 (or 117823 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 404915934852 in words is "four hundred four billion, nine hundred fifteen million, nine hundred thirty-four thousand, eight hundred fifty-two".