387209160 has 320 divisors, whose sum is σ = 1454468400. Its totient is φ = 91736064.

The previous prime is 387209129. The next prime is 387209177. The reversal of 387209160 is 61902783.

It can be written as a sum of positive squares in 8 ways, for example, as 25220484 + 361988676 = 5022^2 + 19026^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1221322 + ... + 1221638.

Almost surely, 2^387209160 is an apocalyptic number.

387209160 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 387209160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727234200).

387209160 is an abundant number, since it is smaller than the sum of its proper divisors (1067259240).

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

387209160 is a wasteful number, since it uses less digits than its factorization.

387209160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 387209160 is about 19677.6309549702. The cubic root of 387209160 is about 728.8674249593.

The spelling of 387209160 in words is "three hundred eighty-seven million, two hundred nine thousand, one hundred sixty".