1278205504 has 63 divisors (see below), whose sum is σ = 2623882611. Its totient is φ = 617794560.

The previous prime is 1278205493. The next prime is 1278205507. The reversal of 1278205504 is 4055028721.

It is a happy number.

The square root of 1278205504 is 35752.

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

It can be written as a sum of positive squares in 4 ways, for example, as 159971904 + 1118233600 = 12648^2 + 33440^2 .

It is a super-3 number, since 3×1278205504³ (a number of 28 digits) contains 333 as substring.

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 1278205504.

It is not an unprimeable number, because it can be changed into a prime (1278205507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11726602 + ... + 11726710.

Almost surely, 2^1278205504 is an apocalyptic number.

1278205504 is the 35752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1278205504

1278205504 is an abundant number, since it is smaller than the sum of its proper divisors (1345677107).

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

1278205504 is an frugal number, since it uses more digits than its factorization.

1278205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The cubic root of 1278205504 is about 1085.2594123010.

The spelling of 1278205504 in words is "one billion, two hundred seventy-eight million, two hundred five thousand, five hundred four".