387724800 has 240 divisors, whose sum is σ = 1339557120. Its totient is φ = 98672640.

The previous prime is 387724787. The next prime is 387724801. The reversal of 387724800 is 8427783.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387724801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882981 + ... + 883419.

It is an arithmetic number, because the mean of its divisors is an integer number (5581488).

Almost surely, 2^387724800 is an apocalyptic number.

387724800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669778560).

387724800 is an abundant number, since it is smaller than the sum of its proper divisors (951832320).

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

387724800 is a wasteful number, since it uses less digits than its factorization.

387724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 387724800 is about 19690.7287828562. The cubic root of 387724800 is about 729.1908216579.

The spelling of 387724800 in words is "three hundred eighty-seven million, seven hundred twenty-four thousand, eight hundred".