384677760 has 256 divisors, whose sum is σ = 1325445120. Its totient is φ = 94617600.

The previous prime is 384677731. The next prime is 384677771. The reversal of 384677760 is 67776483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368820 + ... + 1369100.

It is an arithmetic number, because the mean of its divisors is an integer number (5177520).

Almost surely, 2^384677760 is an apocalyptic number.

384677760 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 384677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662722560).

384677760 is an abundant number, since it is smaller than the sum of its proper divisors (940767360).

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

384677760 is a wasteful number, since it uses less digits than its factorization.

384677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 384677760 is about 19613.2037158645. The cubic root of 384677760 is about 727.2756148370.

The spelling of 384677760 in words is "three hundred eighty-four million, six hundred seventy-seven thousand, seven hundred sixty".