387225520 has 80 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 139692800.

The previous prime is 387225479. The next prime is 387225523. The reversal of 387225520 is 25522783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (387225523) 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, 113601 + ... + 116959.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^387225520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

387225520 is an abundant number, since it is smaller than the sum of its proper divisors (602711120).

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

387225520 is a wasteful number, since it uses less digits than its factorization.

387225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 387225520 is about 19678.0466510271. The cubic root of 387225520 is about 728.8776899567.

It can be divided in two parts, 3872 and 25520, that added together give a palindrome (29392).

The spelling of 387225520 in words is "three hundred eighty-seven million, two hundred twenty-five thousand, five hundred twenty".