385749648 has 160 divisors (see below), whose sum is σ = 1174924800. Its totient is φ = 120960000.

The previous prime is 385749643. The next prime is 385749671. The reversal of 385749648 is 846947583.

385749648 is a `hidden beast` number, since 3 + 8 + 574 + 9 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385749594 and 385749603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385749641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513273 + ... + 514023.

It is an arithmetic number, because the mean of its divisors is an integer number (7343280).

Almost surely, 2^385749648 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 385749648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587462400).

385749648 is an abundant number, since it is smaller than the sum of its proper divisors (789175152).

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

385749648 is a wasteful number, since it uses less digits than its factorization.

385749648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 385749648 is about 19640.5103803338. The cubic root of 385749648 is about 727.9504957683.

The spelling of 385749648 in words is "three hundred eighty-five million, seven hundred forty-nine thousand, six hundred forty-eight".