385462272 has 208 divisors, whose sum is σ = 1174261760. Its totient is φ = 111476736.

The previous prime is 385462271. The next prime is 385462283. The reversal of 385462272 is 272264583.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 385462272.

It is not an unprimeable number, because it can be changed into a prime (385462271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035073 + ... + 3035199.

Almost surely, 2^385462272 is an apocalyptic number.

385462272 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 385462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587130880).

385462272 is an abundant number, since it is smaller than the sum of its proper divisors (788799488).

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

385462272 is a wasteful number, since it uses less digits than its factorization.

385462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 385462272 is about 19633.1931177789. The cubic root of 385462272 is about 727.7696811967.

The spelling of 385462272 in words is "three hundred eighty-five million, four hundred sixty-two thousand, two hundred seventy-two".