384900480 has 192 divisors, whose sum is σ = 1399460400. Its totient is φ = 97210368.

The previous prime is 384900421. The next prime is 384900491. The reversal of 384900480 is 84009483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107682 + ... + 111198.

Almost surely, 2^384900480 is an apocalyptic number.

384900480 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 384900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699730200).

384900480 is an abundant number, since it is smaller than the sum of its proper divisors (1014559920).

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

384900480 is a wasteful number, since it uses less digits than its factorization.

384900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 384900480 is about 19618.8807020176. The cubic root of 384900480 is about 727.4159466429.

The spelling of 384900480 in words is "three hundred eighty-four million, nine hundred thousand, four hundred eighty".