387946152 has 256 divisors, whose sum is σ = 1271808000. Its totient is φ = 108345600.

The previous prime is 387946133. The next prime is 387946159. The reversal of 387946152 is 251649783.

It is a junction number, because it is equal to n+sod(n) for n = 387946098 and 387946107.

It is not an unprimeable number, because it can be changed into a prime (387946159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1693974 + ... + 1694202.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2^387946152 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 387946152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635904000).

387946152 is an abundant number, since it is smaller than the sum of its proper divisors (883861848).

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

387946152 is a wasteful number, since it uses less digits than its factorization.

387946152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 387946152 is about 19696.3486971570. The cubic root of 387946152 is about 729.3295602173.

The spelling of 387946152 in words is "three hundred eighty-seven million, nine hundred forty-six thousand, one hundred fifty-two".