30129480 has 96 divisors (see below), whose sum is σ = 98841600. Its totient is φ = 7959168.

The previous prime is 30129479. The next prime is 30129481. The reversal of 30129480 is 8492103.

It is an interprime number because it is at equal distance from previous prime (30129479) and next prime (30129481).

It is not an unprimeable number, because it can be changed into a prime (30129481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45391 + ... + 46049.

It is an arithmetic number, because the mean of its divisors is an integer number (1029600).

Almost surely, 2^30129480 is an apocalyptic number.

30129480 is a gapful number since it is divisible by the number (30) 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 30129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

30129480 is an abundant number, since it is smaller than the sum of its proper divisors (68712120).

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

30129480 is a wasteful number, since it uses less digits than its factorization.

30129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

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

The square root of 30129480 is about 5489.0327016698. The cubic root of 30129480 is about 311.1696361931.

The spelling of 30129480 in words is "thirty million, one hundred twenty-nine thousand, four hundred eighty".