385790496 has 288 divisors, whose sum is σ = 1298626560. Its totient is φ = 98122752.

The previous prime is 385790491. The next prime is 385790513. The reversal of 385790496 is 694097583.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (385790491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4883385 + ... + 4883463.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2^385790496 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 385790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649313280).

385790496 is an abundant number, since it is smaller than the sum of its proper divisors (912836064).

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

385790496 is a wasteful number, since it uses less digits than its factorization.

385790496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 385790496 is about 19641.5502443163. The cubic root of 385790496 is about 727.9761896974.

The spelling of 385790496 in words is "three hundred eighty-five million, seven hundred ninety thousand, four hundred ninety-six".