384857040 has 80 divisors (see below), whose sum is σ = 1202262336. Its totient is φ = 101836800.

The previous prime is 384857023. The next prime is 384857071. The reversal of 384857040 is 40758483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×384857040² = 296229882475123200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 384857040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25320 + ... + 37560.

Almost surely, 2^384857040 is an apocalyptic number.

384857040 is a gapful number since it is divisible by the number (30) 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 384857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601131168).

384857040 is an abundant number, since it is smaller than the sum of its proper divisors (817405296).

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

384857040 is a wasteful number, since it uses less digits than its factorization.

384857040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388 (or 12382 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 384857040 is about 19617.7735739813. The cubic root of 384857040 is about 727.3885801424.

The spelling of 384857040 in words is "three hundred eighty-four million, eight hundred fifty-seven thousand, forty".