387481600 has 192 divisors, whose sum is σ = 1072676880. Its totient is φ = 137625600.

The previous prime is 387481597. The next prime is 387481607. The reversal of 387481600 is 6184783.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 387481600.

It is not an unprimeable number, because it can be changed into a prime (387481607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9011179 + ... + 9011221.

Almost surely, 2^387481600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536338440).

387481600 is an abundant number, since it is smaller than the sum of its proper divisors (685195280).

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

387481600 is an equidigital number, since it uses as much as digits as its factorization.

387481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 387481600 is about 19684.5523190140. The cubic root of 387481600 is about 729.0383283608.

The spelling of 387481600 in words is "three hundred eighty-seven million, four hundred eighty-one thousand, six hundred".