387564800 has 216 divisors, whose sum is σ = 1128386112. Its totient is φ = 129024000.

The previous prime is 387564797. The next prime is 387564803. The reversal of 387564800 is 8465783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (387564797) and next prime (387564803).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387564803) 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, 1836695 + ... + 1836905.

Almost surely, 2^387564800 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 387564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564193056).

387564800 is an abundant number, since it is smaller than the sum of its proper divisors (740821312).

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

387564800 is a wasteful number, since it uses less digits than its factorization.

387564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 387564800 is about 19686.6655378711. The cubic root of 387564800 is about 729.0905042990.

The spelling of 387564800 in words is "three hundred eighty-seven million, five hundred sixty-four thousand, eight hundred".