404284060152 has 192 divisors, whose sum is σ = 1264911298560. Its totient is φ = 114265209600.

The previous prime is 404284060139. The next prime is 404284060163. The reversal of 404284060152 is 251060482404.

404284060152 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 8 + 40 + 601 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17412183 + ... + 17435385.

It is an arithmetic number, because the mean of its divisors is an integer number (6588079680).

Almost surely, 2^404284060152 is an apocalyptic number.

404284060152 is a gapful number since it is divisible by the number (42) 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 404284060152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632455649280).

404284060152 is an abundant number, since it is smaller than the sum of its proper divisors (860627238408).

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

404284060152 is a wasteful number, since it uses less digits than its factorization.

404284060152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23594 (or 23587 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 404284060152 in words is "four hundred four billion, two hundred eighty-four million, sixty thousand, one hundred fifty-two".