385179984 has 180 divisors, whose sum is σ = 1271674560. Its totient is φ = 108501120.

The previous prime is 385179979. The next prime is 385179997. The reversal of 385179984 is 489971583.

385179984 is a `hidden beast` number, since 38 + 517 + 9 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 385179984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 557079 + ... + 557769.

Almost surely, 2^385179984 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 385179984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635837280).

385179984 is an abundant number, since it is smaller than the sum of its proper divisors (886494576).

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

385179984 is a wasteful number, since it uses less digits than its factorization.

385179984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 385179984 is about 19626.0027514520. The cubic root of 385179984 is about 727.5919804344.

The spelling of 385179984 in words is "three hundred eighty-five million, one hundred seventy-nine thousand, nine hundred eighty-four".