384287040 has 336 divisors, whose sum is σ = 1437875712. Its totient is φ = 93831168.

The previous prime is 384287039. The next prime is 384287051. The reversal of 384287040 is 40782483.

It is a super-2 number, since 2×384287040² = 295353058223923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 384286986 and 384287004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301037 + ... + 2301203.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^384287040 is an apocalyptic number.

384287040 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 384287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

384287040 is an abundant number, since it is smaller than the sum of its proper divisors (1053588672).

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

384287040 is a wasteful number, since it uses less digits than its factorization.

384287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 384287040 is about 19603.2405484399. The cubic root of 384287040 is about 727.0292983783.

The spelling of 384287040 in words is "three hundred eighty-four million, two hundred eighty-seven thousand, forty".