381445200 has 300 divisors, whose sum is σ = 1398627868. Its totient is φ = 99532800.

The previous prime is 381445193. The next prime is 381445223. The reversal of 381445200 is 2544183.

It can be written as a sum of positive squares in 6 ways, for example, as 114318864 + 267126336 = 10692^2 + 16344^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×381445200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1976304 + ... + 1976496.

Almost surely, 2^381445200 is an apocalyptic number.

381445200 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 381445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699313934).

381445200 is an abundant number, since it is smaller than the sum of its proper divisors (1017182668).

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

381445200 is a wasteful number, since it uses less digits than its factorization.

381445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 381445200 is about 19530.6221099073. The cubic root of 381445200 is about 725.2327116613.

Adding to 381445200 its reverse (2544183), we get a palindrome (383989383).

The spelling of 381445200 in words is "three hundred eighty-one million, four hundred forty-five thousand, two hundred".