385909590 has 64 divisors (see below), whose sum is σ = 1013720832. Its totient is φ = 93244800.

The previous prime is 385909567. The next prime is 385909591. The reversal of 385909590 is 95909583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385909591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107464 + ... + 110996.

It is an arithmetic number, because the mean of its divisors is an integer number (15839388).

Almost surely, 2^385909590 is an apocalyptic number.

385909590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385909590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506860416).

385909590 is an abundant number, since it is smaller than the sum of its proper divisors (627811242).

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

385909590 is a wasteful number, since it uses less digits than its factorization.

385909590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885.

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 385909590 is about 19644.5816957247. The cubic root of 385909590 is about 728.0510910386.

The spelling of 385909590 in words is "three hundred eighty-five million, nine hundred nine thousand, five hundred ninety".