384455462160 has 960 divisors, whose sum is σ = 1558394256384. Its totient is φ = 77498265600.

The previous prime is 384455462159. The next prime is 384455462173. The reversal of 384455462160 is 61264554483.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 654949387 + ... + 654949973.

Almost surely, 2^384455462160 is an apocalyptic number.

384455462160 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 384455462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779197128192).

384455462160 is an abundant number, since it is smaller than the sum of its proper divisors (1173938794224).

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

384455462160 is a wasteful number, since it uses less digits than its factorization.

384455462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 384455462160 in words is "three hundred eighty-four billion, four hundred fifty-five million, four hundred sixty-two thousand, one hundred sixty".