383428454656 has 135 divisors (see below), whose sum is σ = 832773333021. Its totient is φ = 176194197504.

The previous prime is 383428454627. The next prime is 383428454663. The reversal of 383428454656 is 656454824383.

It is a happy number.

The square root of 383428454656 is 619216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 287278848256 + 96149606400 = 535984^2 + 310080^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 383428454656.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1674359950 + ... + 1674360178.

Almost surely, 2^383428454656 is an apocalyptic number.

383428454656 is the 619216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383428454656

383428454656 is an abundant number, since it is smaller than the sum of its proper divisors (449344878365).

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

383428454656 is an frugal number, since it uses more digits than its factorization.

383428454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 244 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 383428454656 in words is "three hundred eighty-three billion, four hundred twenty-eight million, four hundred fifty-four thousand, six hundred fifty-six".