387229248 has 168 divisors, whose sum is σ = 1315833792. Its totient is φ = 110605824.

The previous prime is 387229237. The next prime is 387229261. The reversal of 387229248 is 842922783.

387229248 is a `hidden beast` number, since 387 + 2 + 29 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107086 + ... + 110642.

It is an arithmetic number, because the mean of its divisors is an integer number (7832344).

Almost surely, 2^387229248 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 387229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657916896).

387229248 is an abundant number, since it is smaller than the sum of its proper divisors (928604544).

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

387229248 is an equidigital number, since it uses as much as digits as its factorization.

387229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3569 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 387229248 is about 19678.1413756483. The cubic root of 387229248 is about 728.8800290306.

The spelling of 387229248 in words is "three hundred eighty-seven million, two hundred twenty-nine thousand, two hundred forty-eight".