384724000 has 48 divisors (see below), whose sum is σ = 945276696. Its totient is φ = 153888000.

The previous prime is 384723959. The next prime is 384724001. The reversal of 384724000 is 427483.

It can be written as a sum of positive squares in 4 ways, for example, as 249513616 + 135210384 = 15796^2 + 11628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 384724000.

It is not an unprimeable number, because it can be changed into a prime (384724001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44091 + ... + 52090.

Almost surely, 2^384724000 is an apocalyptic number.

It is an amenable number.

384724000 is an abundant number, since it is smaller than the sum of its proper divisors (560552696).

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

384724000 is an equidigital number, since it uses as much as digits as its factorization.

384724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96206 (or 96188 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 384724000 is about 19614.3824781715. The cubic root of 384724000 is about 727.3047542714.

The spelling of 384724000 in words is "three hundred eighty-four million, seven hundred twenty-four thousand".