384657120 has 96 divisors (see below), whose sum is σ = 1346315040. Its totient is φ = 102574080.

The previous prime is 384657067. The next prime is 384657149. The reversal of 384657120 is 21756483.

384657120 is a `hidden beast` number, since 3 + 84 + 6 + 571 + 2 + 0 = 666.

384657120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×384657120² = 295922199933388800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 40201 + ... + 48840.

It is an arithmetic number, because the mean of its divisors is an integer number (14024115).

Almost surely, 2^384657120 is an apocalyptic number.

384657120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384657120 is an abundant number, since it is smaller than the sum of its proper divisors (961657920).

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

384657120 is a wasteful number, since it uses less digits than its factorization.

384657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89065 (or 89051 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 384657120 is about 19612.6775326573. The cubic root of 384657120 is about 727.2626072077.

The spelling of 384657120 in words is "three hundred eighty-four million, six hundred fifty-seven thousand, one hundred twenty".