1291253400 has 216 divisors, whose sum is σ = 4524827580. Its totient is φ = 342221760.

The previous prime is 1291253393. The next prime is 1291253401. The reversal of 1291253400 is 43521921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1291253400 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 253 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291253401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7921719 + ... + 7921881.

Almost surely, 2^1291253400 is an apocalyptic number.

1291253400 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 1291253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262413790).

1291253400 is an abundant number, since it is smaller than the sum of its proper divisors (3233574180).

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

1291253400 is an equidigital number, since it uses as much as digits as its factorization.

1291253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1291253400 is about 35934.0145266292. The cubic root of 1291253400 is about 1088.9396865715.

The spelling of 1291253400 in words is "one billion, two hundred ninety-one million, two hundred fifty-three thousand, four hundred".