387302400 has 297 divisors, whose sum is σ = 1421373343. Its totient is φ = 100761600.

The previous prime is 387302389. The next prime is 387302407. The reversal of 387302400 is 4203783.

The square root of 387302400 is 19680.

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 163021824 + 224280576 = 12768^2 + 14976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387302407) 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, 9446380 + ... + 9446420.

Almost surely, 2^387302400 is an apocalyptic number.

387302400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

387302400 is the 19680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387302400

387302400 is an abundant number, since it is smaller than the sum of its proper divisors (1034070943).

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

387302400 is a wasteful number, since it uses less digits than its factorization.

387302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 387302400 is about 728.9259240441.

The spelling of 387302400 in words is "three hundred eighty-seven million, three hundred two thousand, four hundred".