384968640 has 112 divisors (see below), whose sum is σ = 1396910592. Its totient is φ = 87991296.

The previous prime is 384968629. The next prime is 384968651. The reversal of 384968640 is 46869483.

It is an interprime number because it is at equal distance from previous prime (384968629) and next prime (384968651).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 384968640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21924 + ... + 35363.

It is an arithmetic number, because the mean of its divisors is an integer number (12472416).

Almost surely, 2^384968640 is an apocalyptic number.

384968640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384968640 is an abundant number, since it is smaller than the sum of its proper divisors (1011941952).

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

384968640 is a wasteful number, since it uses less digits than its factorization.

384968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57314 (or 57304 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 384968640 is about 19620.6177272786. The cubic root of 384968640 is about 727.4588821956.

The spelling of 384968640 in words is "three hundred eighty-four million, nine hundred sixty-eight thousand, six hundred forty".