129459456 has 216 divisors, whose sum is σ = 446409600. Its totient is φ = 35278848.

The previous prime is 129459391. The next prime is 129459461. The reversal of 129459456 is 654954921.

129459456 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 594 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370770 + ... + 371118.

Almost surely, 2^129459456 is an apocalyptic number.

129459456 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 129459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223204800).

129459456 is an abundant number, since it is smaller than the sum of its proper divisors (316950144).

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

129459456 is a wasteful number, since it uses less digits than its factorization.

129459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 129459456 is about 11378.0251362000. The cubic root of 129459456 is about 505.8766018413.

The spelling of 129459456 in words is "one hundred twenty-nine million, four hundred fifty-nine thousand, four hundred fifty-six".