120929408 has 32 divisors (see below), whose sum is σ = 243984000. Its totient is φ = 59694336.

The previous prime is 120929399. The next prime is 120929441. The reversal of 120929408 is 804929021.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4133 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (7624500).

Almost surely, 2^120929408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121992000).

120929408 is an abundant number, since it is smaller than the sum of its proper divisors (123054592).

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

120929408 is an equidigital number, since it uses as much as digits as its factorization.

120929408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12052 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 120929408 is about 10996.7908045939. The cubic root of 120929408 is about 494.5125398824.

The spelling of 120929408 in words is "one hundred twenty million, nine hundred twenty-nine thousand, four hundred eight".