405894813408 has 144 divisors (see below), whose sum is σ = 1319713274880. Its totient is φ = 115921145088.

The previous prime is 405894813403. The next prime is 405894813413. The reversal of 405894813408 is 804318498504.

It is a happy number.

405894813408 is a `hidden beast` number, since 4 + 0 + 589 + 4 + 8 + 13 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (405894813403) and next prime (405894813413).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405894813403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4892013 + ... + 4974291.

It is an arithmetic number, because the mean of its divisors is an integer number (9164675520).

Almost surely, 2^405894813408 is an apocalyptic number.

405894813408 is a gapful number since it is divisible by the number (48) 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 405894813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659856637440).

405894813408 is an abundant number, since it is smaller than the sum of its proper divisors (913818461472).

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

405894813408 is a wasteful number, since it uses less digits than its factorization.

405894813408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84749 (or 84738 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 405894813408 in words is "four hundred five billion, eight hundred ninety-four million, eight hundred thirteen thousand, four hundred eight".