387507960 has 192 divisors, whose sum is σ = 1446681600. Its totient is φ = 88121088.

The previous prime is 387507949. The next prime is 387508001. The reversal of 387507960 is 69705783.

It is a happy number.

387507960 is a `hidden beast` number, since 3 + 87 + 507 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924631 + ... + 925049.

It is an arithmetic number, because the mean of its divisors is an integer number (7534800).

Almost surely, 2^387507960 is an apocalyptic number.

387507960 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 387507960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723340800).

387507960 is an abundant number, since it is smaller than the sum of its proper divisors (1059173640).

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

387507960 is a wasteful number, since it uses less digits than its factorization.

387507960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 387507960 is about 19685.2218681934. The cubic root of 387507960 is about 729.0548599110.

The spelling of 387507960 in words is "three hundred eighty-seven million, five hundred seven thousand, nine hundred sixty".