381950400 has 168 divisors, whose sum is σ = 1349729584. Its totient is φ = 94003200.

The previous prime is 381950389. The next prime is 381950417. The reversal of 381950400 is 4059183.

381950400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381950400² = 291772216120320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 59340 + ... + 65460.

Almost surely, 2^381950400 is an apocalyptic number.

381950400 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 381950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674864792).

381950400 is an abundant number, since it is smaller than the sum of its proper divisors (967779184).

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

381950400 is a wasteful number, since it uses less digits than its factorization.

381950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 381950400 is about 19543.5513661156. The cubic root of 381950400 is about 725.5527453406.

The spelling of 381950400 in words is "three hundred eighty-one million, nine hundred fifty thousand, four hundred".