386259460560 has 240 divisors, whose sum is σ = 1341844533120. Its totient is φ = 99496719360.

The previous prime is 386259460553. The next prime is 386259460687. The reversal of 386259460560 is 65064952683.

386259460560 is a `hidden beast` number, since 3 + 8 + 6 + 25 + 9 + 4 + 605 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 386259460497 and 386259460506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3650805 + ... + 3755115.

It is an arithmetic number, because the mean of its divisors is an integer number (5591018888).

Almost surely, 2^386259460560 is an apocalyptic number.

386259460560 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 386259460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670922266560).

386259460560 is an abundant number, since it is smaller than the sum of its proper divisors (955585072560).

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

386259460560 is a wasteful number, since it uses less digits than its factorization.

386259460560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104506 (or 104497 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 386259460560 in words is "three hundred eighty-six billion, two hundred fifty-nine million, four hundred sixty thousand, five hundred sixty".