384462720 has 256 divisors, whose sum is σ = 1434528000. Its totient is φ = 97044480.

The previous prime is 384462697. The next prime is 384462737. The reversal of 384462720 is 27264483.

384462720 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 627 + 20 = 666.

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

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, 327735 + ... + 328905.

It is an arithmetic number, because the mean of its divisors is an integer number (5603625).

Almost surely, 2^384462720 is an apocalyptic number.

384462720 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 384462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717264000).

384462720 is an abundant number, since it is smaller than the sum of its proper divisors (1050065280).

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

384462720 is a wasteful number, since it uses less digits than its factorization.

384462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 384462720 is about 19607.7209282466. The cubic root of 384462720 is about 727.1400706530.

It can be divided in two parts, 3844 and 62720, that added together give a square (66564 = 258²).

The spelling of 384462720 in words is "three hundred eighty-four million, four hundred sixty-two thousand, seven hundred twenty".