126446400 has 168 divisors, whose sum is σ = 461101440. Its totient is φ = 33707520.

The previous prime is 126446399. The next prime is 126446401. The reversal of 126446400 is 4644621.

126446400 is a `hidden beast` number, since 12 + 6 + 4 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126446399) and next prime (126446401).

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 (126446401) 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, 41737 + ... + 44663.

Almost surely, 2^126446400 is an apocalyptic number.

126446400 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 126446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230550720).

126446400 is an abundant number, since it is smaller than the sum of its proper divisors (334655040).

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

126446400 is a wasteful number, since it uses less digits than its factorization.

126446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 126446400 is about 11244.8388160969. The cubic root of 126446400 is about 501.9211423038.

It can be divided in two parts, 12644 and 6400, that added together give a square (19044 = 138²).

The spelling of 126446400 in words is "one hundred twenty-six million, four hundred forty-six thousand, four hundred".