380252465280 has 576 divisors, whose sum is σ = 1375522625880. Its totient is φ = 100508221440.

The previous prime is 380252465273. The next prime is 380252465321. The reversal of 380252465280 is 82564252083.

380252465280 is a `hidden beast` number, since 3 + 80 + 2 + 5 + 2 + 46 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 354634542144 + 25617923136 = 595512^2 + 160056^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 575268150 + ... + 575268810.

Almost surely, 2^380252465280 is an apocalyptic number.

380252465280 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 380252465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687761312940).

380252465280 is an abundant number, since it is smaller than the sum of its proper divisors (995270160600).

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

380252465280 is an frugal number, since it uses more digits than its factorization.

380252465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 380252465280 in words is "three hundred eighty billion, two hundred fifty-two million, four hundred sixty-five thousand, two hundred eighty".