381445120 has 176 divisors, whose sum is σ = 1084746240. Its totient is φ = 125927424.

The previous prime is 381445067. The next prime is 381445147. The reversal of 381445120 is 21544183.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 1039177 + ... + 1039543.

Almost surely, 2^381445120 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 381445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542373120).

381445120 is an abundant number, since it is smaller than the sum of its proper divisors (703301120).

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

381445120 is a wasteful number, since it uses less digits than its factorization.

381445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 381445120 is about 19530.6200618414. The cubic root of 381445120 is about 725.2326609606.

It can be divided in two parts, 38144 and 5120, that added together give a square (43264 = 208²).

The spelling of 381445120 in words is "three hundred eighty-one million, four hundred forty-five thousand, one hundred twenty".