385564590 has 128 divisors (see below), whose sum is σ = 1097349120. Its totient is φ = 95998464.

The previous prime is 385564589. The next prime is 385564637. The reversal of 385564590 is 95465583.

385564590 is a `hidden beast` number, since 3 + 8 + 5 + 56 + 4 + 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 63 ways as a sum of consecutive naturals, for example, 766279 + ... + 766781.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2^385564590 is an apocalyptic number.

385564590 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 385564590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

385564590 is an abundant number, since it is smaller than the sum of its proper divisors (711784530).

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

385564590 is a wasteful number, since it uses less digits than its factorization.

385564590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 385564590 is about 19635.7986850548. The cubic root of 385564590 is about 727.8340691243.

The spelling of 385564590 in words is "three hundred eighty-five million, five hundred sixty-four thousand, five hundred ninety".