381472416 has 120 divisors (see below), whose sum is σ = 1208306484. Its totient is φ = 117365760.

The previous prime is 381472387. The next prime is 381472417. The reversal of 381472416 is 614274183.

It can be written as a sum of positive squares in 2 ways, for example, as 309900816 + 71571600 = 17604^2 + 8460^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (381472417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28036 + ... + 39356.

Almost surely, 2^381472416 is an apocalyptic number.

381472416 is a gapful number since it is divisible by the number (36) 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 381472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604153242).

381472416 is an abundant number, since it is smaller than the sum of its proper divisors (826834068).

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

381472416 is a wasteful number, since it uses less digits than its factorization.

381472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356 (or 11339 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 381472416 is about 19531.3188494786. The cubic root of 381472416 is about 725.2499596295.

The spelling of 381472416 in words is "three hundred eighty-one million, four hundred seventy-two thousand, four hundred sixteen".