387481350400 has 243 divisors, whose sum is σ = 994976837589. Its totient is φ = 149395200000.

The previous prime is 387481350383. The next prime is 387481350407. The reversal of 387481350400 is 4053184783.

The square root of 387481350400 is 622480.

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

It can be written as a sum of positive squares in only one way, i.e., 139493286144 + 247988064256 = 373488^2 + 497984^2 .

It is not an unprimeable number, because it can be changed into a prime (387481350407) 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, 1543750275 + ... + 1543750525.

Almost surely, 2^387481350400 is an apocalyptic number.

387481350400 is the 622480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387481350400

387481350400 is an abundant number, since it is smaller than the sum of its proper divisors (607495487189).

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

387481350400 is an frugal number, since it uses more digits than its factorization.

387481350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

It can be divided in two parts, 387481 and 350400, that added together give a square (737881 = 859²).

The spelling of 387481350400 in words is "three hundred eighty-seven billion, four hundred eighty-one million, three hundred fifty thousand, four hundred".