126429408 has 324 divisors, whose sum is σ = 458613792. Its totient is φ = 32901120.

The previous prime is 126429403. The next prime is 126429437. The reversal of 126429408 is 804924621.

126429408 is a `hidden beast` number, since 1 + 2 + 642 + 9 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126429403) 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 53 ways as a sum of consecutive naturals, for example, 4078353 + ... + 4078383.

Almost surely, 2^126429408 is an apocalyptic number.

126429408 is a gapful number since it is divisible by the number (18) 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 126429408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229306896).

126429408 is an abundant number, since it is smaller than the sum of its proper divisors (332184384).

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

126429408 is a wasteful number, since it uses less digits than its factorization.

126429408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126429408 is about 11244.0832440889. The cubic root of 126429408 is about 501.8986583999.

The spelling of 126429408 in words is "one hundred twenty-six million, four hundred twenty-nine thousand, four hundred eight".