126246400 has 120 divisors (see below), whose sum is σ = 357722640. Its totient is φ = 43253760.

The previous prime is 126246389. The next prime is 126246401. The reversal of 126246400 is 4642621.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126246401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88896 + ... + 90304.

It is an arithmetic number, because the mean of its divisors is an integer number (2981022).

Almost surely, 2^126246400 is an apocalyptic number.

126246400 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 126246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178861320).

126246400 is an abundant number, since it is smaller than the sum of its proper divisors (231476240).

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

126246400 is an equidigital number, since it uses as much as digits as its factorization.

126246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 126246400 is about 11235.9423280827. The cubic root of 126246400 is about 501.6563734614.

The spelling of 126246400 in words is "one hundred twenty-six million, two hundred forty-six thousand, four hundred".