385403904 has 264 divisors, whose sum is σ = 1226234880. Its totient is φ = 116121600.

The previous prime is 385403903. The next prime is 385403911. The reversal of 385403904 is 409304583.

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

It is not an unprimeable number, because it can be changed into a prime (385403903) 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, 5428189 + ... + 5428259.

Almost surely, 2^385403904 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 385403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613117440).

385403904 is an abundant number, since it is smaller than the sum of its proper divisors (840830976).

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

385403904 is a wasteful number, since it uses less digits than its factorization.

385403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 385403904 is about 19631.7065992746. The cubic root of 385403904 is about 727.7329455609.

The spelling of 385403904 in words is "three hundred eighty-five million, four hundred three thousand, nine hundred four".