387430560 has 384 divisors, whose sum is σ = 1532805120. Its totient is φ = 90547200.

The previous prime is 387430553. The next prime is 387430573. The reversal of 387430560 is 65034783.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1472989 + ... + 1473251.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^387430560 is an apocalyptic number.

387430560 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 387430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766402560).

387430560 is an abundant number, since it is smaller than the sum of its proper divisors (1145374560).

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

387430560 is a wasteful number, since it uses less digits than its factorization.

387430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 387430560 is about 19683.2558282414. The cubic root of 387430560 is about 729.0063167330.

The spelling of 387430560 in words is "three hundred eighty-seven million, four hundred thirty thousand, five hundred sixty".