385402248 has 144 divisors (see below), whose sum is σ = 1324730160. Its totient is φ = 100094400.

The previous prime is 385402247. The next prime is 385402301. The reversal of 385402248 is 842204583.

385402248 is a `hidden beast` number, since 3 + 8 + 5 + 402 + 248 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (385402247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33843 + ... + 43773.

It is an arithmetic number, because the mean of its divisors is an integer number (9199515).

Almost surely, 2^385402248 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 385402248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662365080).

385402248 is an abundant number, since it is smaller than the sum of its proper divisors (939327912).

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

385402248 is a wasteful number, since it uses less digits than its factorization.

385402248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 385402248 is about 19631.6644225598. The cubic root of 385402248 is about 727.7319032539.

The spelling of 385402248 in words is "three hundred eighty-five million, four hundred two thousand, two hundred forty-eight".