385144992 has 144 divisors (see below), whose sum is σ = 1141620480. Its totient is φ = 123033600.

The previous prime is 385144973. The next prime is 385145003. The reversal of 385144992 is 299441583.

385144992 is a `hidden beast` number, since 3 + 8 + 514 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597992 + ... + 1598232.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2^385144992 is an apocalyptic number.

385144992 is a gapful number since it is divisible by the number (32) 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 385144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

385144992 is an abundant number, since it is smaller than the sum of its proper divisors (756475488).

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

385144992 is a wasteful number, since it uses less digits than its factorization.

385144992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 385144992 is about 19625.1112608311. Note that the first 3 decimals coincide. The cubic root of 385144992 is about 727.5699468651.

The spelling of 385144992 in words is "three hundred eighty-five million, one hundred forty-four thousand, nine hundred ninety-two".