126456400 has 120 divisors (see below), whose sum is σ = 365641280. Its totient is φ = 41057280.

The previous prime is 126456391. The next prime is 126456401. The reversal of 126456400 is 4654621.

It is a super-2 number, since 2×126456400² = 31982442201920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126456401) 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 23 ways as a sum of consecutive naturals, for example, 52012 + ... + 54388.

Almost surely, 2^126456400 is an apocalyptic number.

126456400 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 126456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182820640).

126456400 is an abundant number, since it is smaller than the sum of its proper divisors (239184880).

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

126456400 is a wasteful number, since it uses less digits than its factorization.

126456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 126456400 is about 11245.2834557427. The cubic root of 126456400 is about 501.9343734149.

The spelling of 126456400 in words is "one hundred twenty-six million, four hundred fifty-six thousand, four hundred".