126285400 has 96 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 47329920.

The previous prime is 126285353. The next prime is 126285409. The reversal of 126285400 is 4582621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126285409) 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, 634501 + ... + 634699.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 2^126285400 is an apocalyptic number.

126285400 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 126285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

126285400 is an abundant number, since it is smaller than the sum of its proper divisors (186194600).

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

126285400 is a wasteful number, since it uses less digits than its factorization.

126285400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 126285400 is about 11237.6776960367. The cubic root of 126285400 is about 501.7080253218.

The spelling of 126285400 in words is "one hundred twenty-six million, two hundred eighty-five thousand, four hundred".