384227492220 has 1152 divisors, whose sum is σ = 1502718013440. Its totient is φ = 80791603200.

The previous prime is 384227492203. The next prime is 384227492221. The reversal of 384227492220 is 22294722483.

384227492220 is a `hidden beast` number, since 38 + 42 + 274 + 92 + 220 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384227492221) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1387102722 + ... + 1387102998.

It is an arithmetic number, because the mean of its divisors is an integer number (1304442720).

Almost surely, 2^384227492220 is an apocalyptic number.

384227492220 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 384227492220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751359006720).

384227492220 is an abundant number, since it is smaller than the sum of its proper divisors (1118490521220).

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

384227492220 is a wasteful number, since it uses less digits than its factorization.

384227492220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 384227492220 in words is "three hundred eighty-four billion, two hundred twenty-seven million, four hundred ninety-two thousand, two hundred twenty".