384499206400 has 243 divisors, whose sum is σ = 997833635211. Its totient is φ = 146676203520.

The previous prime is 384499206383. The next prime is 384499206401. The reversal of 384499206400 is 4602994483.

The square root of 384499206400 is 620080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 53239101696 + 331260104704 = 230736^2 + 575552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384499206401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1140947032 + ... + 1140947368.

Almost surely, 2^384499206400 is an apocalyptic number.

384499206400 is the 620080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384499206400

384499206400 is an abundant number, since it is smaller than the sum of its proper divisors (613334428811).

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

384499206400 is an frugal number, since it uses more digits than its factorization.

384499206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 384499206400 by its sum of digits (49), we get a square (18840461113600 = 4340560²).

The spelling of 384499206400 in words is "three hundred eighty-four billion, four hundred ninety-nine million, two hundred six thousand, four hundred".