380259648000 has 480 divisors, whose sum is σ = 1373372835120. Its totient is φ = 101125324800.

The previous prime is 380259647993. The next prime is 380259648007. The reversal of 380259648000 is 846952083.

380259648000 is a `hidden beast` number, since 3 + 80 + 2 + 5 + 96 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380259647993) and next prime (380259648007).

It can be written as a sum of positive squares in 8 ways, for example, as 163073822976 + 217185825024 = 403824^2 + 466032^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (380259648007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293183352 + ... + 293184648.

Almost surely, 2^380259648000 is an apocalyptic number.

380259648000 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 380259648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686686417560).

380259648000 is an abundant number, since it is smaller than the sum of its proper divisors (993113187120).

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

380259648000 is a wasteful number, since it uses less digits than its factorization.

380259648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 380259648000 in words is "three hundred eighty billion, two hundred fifty-nine million, six hundred forty-eight thousand".