380993800 has 192 divisors, whose sum is σ = 1046183040. Its totient is φ = 127488000.

The previous prime is 380993779. The next prime is 380993819. The reversal of 380993800 is 8399083.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281317 + ... + 2281483.

It is an arithmetic number, because the mean of its divisors is an integer number (5448870).

Almost surely, 2^380993800 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 380993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523091520).

380993800 is an abundant number, since it is smaller than the sum of its proper divisors (665189240).

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

380993800 is a wasteful number, since it uses less digits than its factorization.

380993800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 380993800 is about 19519.0624774860. The cubic root of 380993800 is about 724.9465200345.

The spelling of 380993800 in words is "three hundred eighty million, nine hundred ninety-three thousand, eight hundred".