385461288 has 128 divisors (see below), whose sum is σ = 1120204800. Its totient is φ = 122689728.

The previous prime is 385461283. The next prime is 385461299. The reversal of 385461288 is 882164583.

It is not an unprimeable number, because it can be changed into a prime (385461283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436095 + ... + 436977.

It is an arithmetic number, because the mean of its divisors is an integer number (8751600).

Almost surely, 2^385461288 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 385461288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560102400).

385461288 is an abundant number, since it is smaller than the sum of its proper divisors (734743512).

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

385461288 is a wasteful number, since it uses less digits than its factorization.

385461288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 385461288 is about 19633.1680581612. The cubic root of 385461288 is about 727.7690619178.

The spelling of 385461288 in words is "three hundred eighty-five million, four hundred sixty-one thousand, two hundred eighty-eight".