387460800 has 168 divisors, whose sum is σ = 1412595600. Its totient is φ = 103311360.

The previous prime is 387460789. The next prime is 387460873. The reversal of 387460800 is 8064783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38716 + ... + 47684.

Almost surely, 2^387460800 is an apocalyptic number.

387460800 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 387460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706297800).

387460800 is an abundant number, since it is smaller than the sum of its proper divisors (1025134800).

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

387460800 is a wasteful number, since it uses less digits than its factorization.

387460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 387460800 is about 19684.0239788515. The cubic root of 387460800 is about 729.0252832092.

The spelling of 387460800 in words is "three hundred eighty-seven million, four hundred sixty thousand, eight hundred".