914126400 has 504 divisors, whose sum is σ = 3685032000. Its totient is φ = 212889600.

The previous prime is 914126327. The next prime is 914126413. The reversal of 914126400 is 4621419.

914126400 is a `hidden beast` number, since 9 + 1 + 4 + 12 + 640 + 0 = 666.

914126400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4593501 + ... + 4593699.

Almost surely, 2^914126400 is an apocalyptic number.

914126400 is a gapful number since it is divisible by the number (90) 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 914126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842516000).

914126400 is an abundant number, since it is smaller than the sum of its proper divisors (2770905600).

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

914126400 is a wasteful number, since it uses less digits than its factorization.

914126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 914126400 is about 30234.5233135897. The cubic root of 914126400 is about 970.5146240073.

Adding to 914126400 its reverse (4621419), we get a palindrome (918747819).

The spelling of 914126400 in words is "nine hundred fourteen million, one hundred twenty-six thousand, four hundred".