380460832416 has 864 divisors, whose sum is σ = 1335865789440. Its totient is φ = 102309322752.

The previous prime is 380460832379. The next prime is 380460832457. The reversal of 380460832416 is 614238064083.

380460832416 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 608 + 3 + 24 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2777086300 + ... + 2777086436.

It is an arithmetic number, because the mean of its divisors is an integer number (1546140960).

Almost surely, 2^380460832416 is an apocalyptic number.

380460832416 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 380460832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667932894720).

380460832416 is an abundant number, since it is smaller than the sum of its proper divisors (955404957024).

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

380460832416 is a wasteful number, since it uses less digits than its factorization.

380460832416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 380460832416 its reverse (614238064083), we get a palindrome (994698896499).

The spelling of 380460832416 in words is "three hundred eighty billion, four hundred sixty million, eight hundred thirty-two thousand, four hundred sixteen".