387450144 has 72 divisors (see below), whose sum is σ = 1107566460. Its totient is φ = 128475648.

The previous prime is 387450143. The next prime is 387450209. The reversal of 387450144 is 441054783.

It can be written as a sum of positive squares in 2 ways, for example, as 343731600 + 43718544 = 18540^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×387450144² = 300235228171241472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 387450099 and 387450108.

It is not an unprimeable number, because it can be changed into a prime (387450143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53322 + ... + 60150.

Almost surely, 2^387450144 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 387450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553783230).

387450144 is an abundant number, since it is smaller than the sum of its proper divisors (720116316).

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

387450144 is a wasteful number, since it uses less digits than its factorization.

387450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7031 counting only the distinct ones).

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

The square root of 387450144 is about 19683.7533006284. The cubic root of 387450144 is about 729.0185998969.

The spelling of 387450144 in words is "three hundred eighty-seven million, four hundred fifty thousand, one hundred forty-four".