385401408 has 112 divisors (see below), whose sum is σ = 1174333440. Its totient is φ = 109269504.

The previous prime is 385401403. The next prime is 385401433. The reversal of 385401408 is 804104583.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385401403) 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, 185785 + ... + 187847.

It is an arithmetic number, because the mean of its divisors is an integer number (10485120).

Almost surely, 2^385401408 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 385401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587166720).

385401408 is an abundant number, since it is smaller than the sum of its proper divisors (788932032).

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

385401408 is a wasteful number, since it uses less digits than its factorization.

385401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 385401408 is about 19631.6430285394. The cubic root of 385401408 is about 727.7313745464.

The spelling of 385401408 in words is "three hundred eighty-five million, four hundred one thousand, four hundred eight".