405208385056 has 96 divisors (see below), whose sum is σ = 850449922560. Its totient is φ = 189645840384.

The previous prime is 405208385053. The next prime is 405208385083. The reversal of 405208385056 is 650583802504.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 405208384997 and 405208385015.

It is not an unprimeable number, because it can be changed into a prime (405208385051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6539436 + ... + 6601108.

It is an arithmetic number, because the mean of its divisors is an integer number (8858853360).

Almost surely, 2^405208385056 is an apocalyptic number.

405208385056 is a gapful number since it is divisible by the number (46) 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 405208385056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425224961280).

405208385056 is an abundant number, since it is smaller than the sum of its proper divisors (445241537504).

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

405208385056 is a wasteful number, since it uses less digits than its factorization.

405208385056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61898 (or 61890 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 405208385056 in words is "four hundred five billion, two hundred eight million, three hundred eighty-five thousand, fifty-six".