387806520 has 64 divisors (see below), whose sum is σ = 1174331520. Its totient is φ = 102445184.

The previous prime is 387806513. The next prime is 387806527. The reversal of 387806520 is 25608783.

It is an interprime number because it is at equal distance from previous prime (387806513) and next prime (387806527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387806527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262 + ... + 27941.

It is an arithmetic number, because the mean of its divisors is an integer number (18348930).

Almost surely, 2^387806520 is an apocalyptic number.

387806520 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 387806520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587165760).

387806520 is an abundant number, since it is smaller than the sum of its proper divisors (786525000).

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

387806520 is a wasteful number, since it uses less digits than its factorization.

387806520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30324 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 387806520 is about 19692.8037617806. The cubic root of 387806520 is about 729.2420481016.

The spelling of 387806520 in words is "three hundred eighty-seven million, eight hundred six thousand, five hundred twenty".