385047072 has 72 divisors (see below), whose sum is σ = 1121718780. Its totient is φ = 125214720.

The previous prime is 385047011. The next prime is 385047073. The reversal of 385047072 is 270740583.

It can be written as a sum of positive squares in 2 ways, for example, as 370023696 + 15023376 = 19236^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×385047072² = 296522495311546368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (385047073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4497 + ... + 28112.

Almost surely, 2^385047072 is an apocalyptic number.

385047072 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 385047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560859390).

385047072 is an abundant number, since it is smaller than the sum of its proper divisors (736671708).

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

385047072 is a wasteful number, since it uses less digits than its factorization.

385047072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32666 (or 32655 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 385047072 is about 19622.6163393162. The cubic root of 385047072 is about 727.5082820469.

The spelling of 385047072 in words is "three hundred eighty-five million, forty-seven thousand, seventy-two".