1266278400 has 336 divisors, whose sum is σ = 4672431600. Its totient is φ = 336199680.

The previous prime is 1266278393. The next prime is 1266278401. The reversal of 1266278400 is 48726621.

1266278400 is a `hidden beast` number, since 1 + 26 + 627 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266278401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529486 + ... + 5529714.

Almost surely, 2^1266278400 is an apocalyptic number.

1266278400 is a gapful number since it is divisible by the number (10) 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 1266278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336215800).

1266278400 is an abundant number, since it is smaller than the sum of its proper divisors (3406153200).

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

1266278400 is an equidigital number, since it uses as much as digits as its factorization.

1266278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1266278400 is about 35584.8057462732. The cubic root of 1266278400 is about 1081.8732920506.

The spelling of 1266278400 in words is "one billion, two hundred sixty-six million, two hundred seventy-eight thousand, four hundred".