380224800 has 288 divisors, whose sum is σ = 1424908800. Its totient is φ = 97735680.

The previous prime is 380224787. The next prime is 380224837. The reversal of 380224800 is 8422083.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626097 + ... + 626703.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^380224800 is an apocalyptic number.

380224800 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 380224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

380224800 is an abundant number, since it is smaller than the sum of its proper divisors (1044684000).

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

380224800 is a wasteful number, since it uses less digits than its factorization.

380224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 380224800 is about 19499.3538354480. The cubic root of 380224800 is about 724.4584461505.

Adding to 380224800 its reverse (8422083), we get a palindrome (388646883).

The spelling of 380224800 in words is "three hundred eighty million, two hundred twenty-four thousand, eight hundred".