386451855360 has 480 divisors, whose sum is σ = 1466696911680. Its totient is φ = 96988299264.

The previous prime is 386451855359. The next prime is 386451855367. The reversal of 386451855360 is 63558154683.

It is a happy number.

386451855360 is a `hidden beast` number, since 3 + 8 + 6 + 451 + 85 + 53 + 60 = 666.

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

It is a super-2 number, since 2×386451855360² (a number of 24 digits) contains 22 as substring.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 386451855297 and 386451855306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386451855367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14086777 + ... + 14114183.

It is an arithmetic number, because the mean of its divisors is an integer number (3055618566).

Almost surely, 2^386451855360 is an apocalyptic number.

386451855360 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 386451855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733348455840).

386451855360 is an abundant number, since it is smaller than the sum of its proper divisors (1080245056320).

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

386451855360 is a wasteful number, since it uses less digits than its factorization.

386451855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27463 (or 27434 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 386451855360 in words is "three hundred eighty-six billion, four hundred fifty-one million, eight hundred fifty-five thousand, three hundred sixty".