1278963504 has 360 divisors, whose sum is σ = 4569207552. Its totient is φ = 330946560.

The previous prime is 1278963503. The next prime is 1278963523. The reversal of 1278963504 is 4053698721.

1278963504 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 9 + 635 + 0 + 4 = 666.

1278963504 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1278963504 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1278963504.

It is not an unprimeable number, because it can be changed into a prime (1278963503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6696049 + ... + 6696239.

It is a 1-persistent number, because it is pandigital, but 2⋅1278963504 = 2557927008 is not.

It is a vampire number, since it can be written as 30576 ⋅ 41829 (with its own digits).

Almost surely, 2^1278963504 is an apocalyptic number.

1278963504 is a gapful number since it is divisible by the number (14) 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 1278963504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284603776).

1278963504 is an abundant number, since it is smaller than the sum of its proper divisors (3290244048).

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

1278963504 is a wasteful number, since it uses less digits than its factorization.

1278963504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1278963504 is about 35762.5992343957. The cubic root of 1278963504 is about 1085.4738963503.

The spelling of 1278963504 in words is "one billion, two hundred seventy-eight million, nine hundred sixty-three thousand, five hundred four".