380041200 has 480 divisors, whose sum is σ = 1690129920. Its totient is φ = 78796800.

The previous prime is 380041199. The next prime is 380041229. The reversal of 380041200 is 2140083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831372 + ... + 831828.

It is an arithmetic number, because the mean of its divisors is an integer number (3521104).

Almost surely, 2^380041200 is an apocalyptic number.

380041200 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 380041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845064960).

380041200 is an abundant number, since it is smaller than the sum of its proper divisors (1310088720).

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

380041200 is a wasteful number, since it uses less digits than its factorization.

380041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 380041200 is about 19494.6454186784. The cubic root of 380041200 is about 724.3418204197.

Adding to 380041200 its reverse (2140083), we get a palindrome (382181283).

It can be divided in two parts, 38004 and 1200, that added together give a square (39204 = 198²).

The spelling of 380041200 in words is "three hundred eighty million, forty-one thousand, two hundred".