385429248 has 108 divisors (see below), whose sum is σ = 1120647528. Its totient is φ = 127395840.

The previous prime is 385429223. The next prime is 385429249. The reversal of 385429248 is 842924583.

385429248 is a `hidden beast` number, since 385 + 4 + 29 + 248 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385429249) 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, 301186 + ... + 302462.

It is an arithmetic number, because the mean of its divisors is an integer number (10376366).

Almost surely, 2^385429248 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 385429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560323764).

385429248 is an abundant number, since it is smaller than the sum of its proper divisors (735218280).

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

385429248 is a wasteful number, since it uses less digits than its factorization.

385429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1413 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 385429248 is about 19632.3520750826. The cubic root of 385429248 is about 727.7488970162.

The spelling of 385429248 in words is "three hundred eighty-five million, four hundred twenty-nine thousand, two hundred forty-eight".