380430984960 has 288 divisors, whose sum is σ = 1453849615680. Its totient is φ = 93644439552.

The previous prime is 380430984953. The next prime is 380430984971. The reversal of 380430984960 is 69489034083.

It is a happy number.

380430984960 is a `hidden beast` number, since 3 + 80 + 430 + 98 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 380430984897 and 380430984906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25902 + ... + 872658.

Almost surely, 2^380430984960 is an apocalyptic number.

380430984960 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 380430984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726924807840).

380430984960 is an abundant number, since it is smaller than the sum of its proper divisors (1073418630720).

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

380430984960 is a wasteful number, since it uses less digits than its factorization.

380430984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846800 (or 846780 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 380430984960 in words is "three hundred eighty billion, four hundred thirty million, nine hundred eighty-four thousand, nine hundred sixty".