126309456 has 420 divisors, whose sum is σ = 486695412. Its totient is φ = 31352832.

The previous prime is 126309451. The next prime is 126309481. The reversal of 126309456 is 654903621.

It is a happy number.

126309456 is a `hidden beast` number, since 12 + 630 + 9 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 69155856 = 7560^2 + 8316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126309456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126309451) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429960 + ... + 7429976.

Almost surely, 2^126309456 is an apocalyptic number.

126309456 is a gapful number since it is divisible by the number (16) 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 126309456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243347706).

126309456 is an abundant number, since it is smaller than the sum of its proper divisors (360385956).

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

126309456 is a wasteful number, since it uses less digits than its factorization.

126309456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 126309456 is about 11238.7479729728. The cubic root of 126309456 is about 501.7398799463.

The spelling of 126309456 in words is "one hundred twenty-six million, three hundred nine thousand, four hundred fifty-six".