385429590 has 336 divisors, whose sum is σ = 1318787568. Its totient is φ = 80341632.

The previous prime is 385429589. The next prime is 385429601. The reversal of 385429590 is 95924583.

385429590 is a `hidden beast` number, since 3 + 8 + 54 + 2 + 9 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4643689 + ... + 4643771.

It is an arithmetic number, because the mean of its divisors is an integer number (3924963).

Almost surely, 2^385429590 is an apocalyptic number.

385429590 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 385429590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659393784).

385429590 is an abundant number, since it is smaller than the sum of its proper divisors (933357978).

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

385429590 is a wasteful number, since it uses less digits than its factorization.

385429590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 385429590 is about 19632.3607851934. The cubic root of 385429590 is about 727.7491122654.

The spelling of 385429590 in words is "three hundred eighty-five million, four hundred twenty-nine thousand, five hundred ninety".