385515144 has 144 divisors (see below), whose sum is σ = 1267643520. Its totient is φ = 105336000.

The previous prime is 385515133. The next prime is 385515157. The reversal of 385515144 is 441515583.

It is a Harshad number since it is a multiple of its sum of digits (36).

385515144 is a Rhonda number in base 10.

Its product of digits (48000) is a multiple of the sum of its prime factors (4800).

It is a junction number, because it is equal to n+sod(n) for n = 385515099 and 385515108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78769 + ... + 83519.

It is an arithmetic number, because the mean of its divisors is an integer number (8803080).

Almost surely, 2^385515144 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 385515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633821760).

385515144 is an abundant number, since it is smaller than the sum of its proper divisors (882128376).

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

385515144 is a wasteful number, since it uses less digits than its factorization.

385515144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4786 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 385515144 is about 19634.5395667940. The cubic root of 385515144 is about 727.8029545607.

The spelling of 385515144 in words is "three hundred eighty-five million, five hundred fifteen thousand, one hundred forty-four".