387448600 has 192 divisors, whose sum is σ = 1137427200. Its totient is φ = 119232000.

The previous prime is 387448597. The next prime is 387448609. The reversal of 387448600 is 6844783.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387448609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140510 + ... + 2140690.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^387448600 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 387448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

387448600 is an abundant number, since it is smaller than the sum of its proper divisors (749978600).

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

387448600 is a wasteful number, since it uses less digits than its factorization.

387448600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 387448600 is about 19683.7140804270. The cubic root of 387448600 is about 729.0176315089.

The spelling of 387448600 in words is "three hundred eighty-seven million, four hundred forty-eight thousand, six hundred".