1266808400 has 120 divisors (see below), whose sum is σ = 3575750304. Its totient is φ = 425203200.

The previous prime is 1266808391. The next prime is 1266808409. The reversal of 1266808400 is 48086621.

It is an interprime number because it is at equal distance from previous prime (1266808391) and next prime (1266808409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266808409) 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, 46127 + ... + 68273.

Almost surely, 2^1266808400 is an apocalyptic number.

1266808400 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 1266808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787875152).

1266808400 is an abundant number, since it is smaller than the sum of its proper divisors (2308941904).

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

1266808400 is a wasteful number, since it uses less digits than its factorization.

1266808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22189 (or 22178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1266808400 is about 35592.2519658422. The cubic root of 1266808400 is about 1082.0242101177.

The spelling of 1266808400 in words is "one billion, two hundred sixty-six million, eight hundred eight thousand, four hundred".