381846960 has 300 divisors, whose sum is σ = 1460729424. Its totient is φ = 92378880.

The previous prime is 381846953. The next prime is 381846961. The reversal of 381846960 is 69648183.

It is a super-2 number, since 2×381846960² = 291614201722483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (381846961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 783837 + ... + 784323.

Almost surely, 2^381846960 is an apocalyptic number.

381846960 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 381846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730364712).

381846960 is an abundant number, since it is smaller than the sum of its proper divisors (1078882464).

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

381846960 is a wasteful number, since it uses less digits than its factorization.

381846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 381846960 is about 19540.9047896969. The cubic root of 381846960 is about 725.4872412402.

The spelling of 381846960 in words is "three hundred eighty-one million, eight hundred forty-six thousand, nine hundred sixty".