385846956 has 96 divisors (see below), whose sum is σ = 1126594560. Its totient is φ = 113140800.

The previous prime is 385846933. The next prime is 385846957. The reversal of 385846956 is 659648583.

It is a happy number.

385846956 is a `hidden beast` number, since 3 + 8 + 584 + 6 + 9 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385846957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31590 + ... + 42066.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2^385846956 is an apocalyptic number.

385846956 is a gapful number since it is divisible by the number (36) 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 385846956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563297280).

385846956 is an abundant number, since it is smaller than the sum of its proper divisors (740747604).

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

385846956 is a wasteful number, since it uses less digits than its factorization.

385846956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10524 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 385846956 is about 19642.9874509963. The cubic root of 385846956 is about 728.0117007941.

The spelling of 385846956 in words is "three hundred eighty-five million, eight hundred forty-six thousand, nine hundred fifty-six".