385241472 has 384 divisors, whose sum is σ = 1428261120. Its totient is φ = 96768000.

The previous prime is 385241449. The next prime is 385241489. The reversal of 385241472 is 274142583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3814222 + ... + 3814322.

It is an arithmetic number, because the mean of its divisors is an integer number (3719430).

Almost surely, 2^385241472 is an apocalyptic number.

385241472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714130560).

385241472 is an abundant number, since it is smaller than the sum of its proper divisors (1043019648).

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

385241472 is a wasteful number, since it uses less digits than its factorization.

385241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 385241472 is about 19627.5691821478. The cubic root of 385241472 is about 727.6306946262.

The spelling of 385241472 in words is "three hundred eighty-five million, two hundred forty-one thousand, four hundred seventy-two".