387851520 has 288 divisors, whose sum is σ = 1450487808. Its totient is φ = 86482944.

The previous prime is 387851467. The next prime is 387851531. The reversal of 387851520 is 25158783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263207 + ... + 1263513.

It is an arithmetic number, because the mean of its divisors is an integer number (5036416).

Almost surely, 2^387851520 is an apocalyptic number.

387851520 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 387851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904).

387851520 is an abundant number, since it is smaller than the sum of its proper divisors (1062636288).

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

387851520 is a wasteful number, since it uses less digits than its factorization.

387851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 387851520 is about 19693.9462779810. The cubic root of 387851520 is about 729.2702534233.

The spelling of 387851520 in words is "three hundred eighty-seven million, eight hundred fifty-one thousand, five hundred twenty".