387441252 has 96 divisors (see below), whose sum is σ = 1106985600. Its totient is φ = 116208000.

The previous prime is 387441251. The next prime is 387441253. The reversal of 387441252 is 252144783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (387441251) and next prime (387441253).

It is a super-2 number, since 2×387441252² = 300221447502655008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (387441251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118374 + ... + 121602.

It is an arithmetic number, because the mean of its divisors is an integer number (11531100).

Almost surely, 2^387441252 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 387441252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553492800).

387441252 is an abundant number, since it is smaller than the sum of its proper divisors (719544348).

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

387441252 is a wasteful number, since it uses less digits than its factorization.

387441252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3346 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 387441252 is about 19683.5274277757. The cubic root of 387441252 is about 729.0130228499.

The spelling of 387441252 in words is "three hundred eighty-seven million, four hundred forty-one thousand, two hundred fifty-two".