380246400 has 336 divisors, whose sum is σ = 1416987060. Its totient is φ = 100776960.

The previous prime is 380246389. The next prime is 380246407. The reversal of 380246400 is 4642083.

380246400 is a `hidden beast` number, since 380 + 246 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380246407) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 2332719 + ... + 2332881.

Almost surely, 2^380246400 is an apocalyptic number.

380246400 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 380246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708493530).

380246400 is an abundant number, since it is smaller than the sum of its proper divisors (1036740660).

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

380246400 is an equidigital number, since it uses as much as digits as its factorization.

380246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 380246400 is about 19499.9076920892. The cubic root of 380246400 is about 724.4721643563.

Adding to 380246400 its reverse (4642083), we get a palindrome (384888483).

The spelling of 380246400 in words is "three hundred eighty million, two hundred forty-six thousand, four hundred".