384767460 has 576 divisors, whose sum is σ = 1630347264. Its totient is φ = 70963200.

The previous prime is 384767459. The next prime is 384767501. The reversal of 384767460 is 64767483.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5419225 + ... + 5419295.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^384767460 is an apocalyptic number.

384767460 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 384767460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815173632).

384767460 is an abundant number, since it is smaller than the sum of its proper divisors (1245579804).

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

384767460 is a wasteful number, since it uses less digits than its factorization.

384767460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 384767460 is about 19615.4903074076. The cubic root of 384767460 is about 727.3321396823.

The spelling of 384767460 in words is "three hundred eighty-four million, seven hundred sixty-seven thousand, four hundred sixty".