405785856 has 216 divisors, whose sum is σ = 1291840704. Its totient is φ = 112680960.

The previous prime is 405785851. The next prime is 405785867. The reversal of 405785856 is 658587504.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405785851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542781 + ... + 1543043.

It is an arithmetic number, because the mean of its divisors is an integer number (5980744).

Almost surely, 2^405785856 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 405785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645920352).

405785856 is an abundant number, since it is smaller than the sum of its proper divisors (886054848).

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

405785856 is a wasteful number, since it uses less digits than its factorization.

405785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 405785856 is about 20144.1270845872. The cubic root of 405785856 is about 740.3418532522.

The spelling of 405785856 in words is "four hundred five million, seven hundred eighty-five thousand, eight hundred fifty-six".