30129408 has 90 divisors (see below), whose sum is σ = 89902274. Its totient is φ = 10036224.

The previous prime is 30129401. The next prime is 30129413. The reversal of 30129408 is 80492103.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 186624 = 5472^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30129401) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20010 + ... + 21462.

Almost surely, 2^30129408 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 30129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44951137).

30129408 is an abundant number, since it is smaller than the sum of its proper divisors (59772866).

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

30129408 is an equidigital number, since it uses as much as digits as its factorization.

30129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30129408 is about 5489.0261431332. The cubic root of 30129408 is about 311.1693883270.

The spelling of 30129408 in words is "thirty million, one hundred twenty-nine thousand, four hundred eight".