30412980 has 144 divisors (see below), whose sum is σ = 102093264. Its totient is φ = 7280640.

The previous prime is 30412957. The next prime is 30412999. The reversal of 30412980 is 8921403.

It can be written as a sum of positive squares in 8 ways, for example, as 16305444 + 14107536 = 4038^2 + 3756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95782 + ... + 96098.

It is an arithmetic number, because the mean of its divisors is an integer number (708981).

Almost surely, 2^30412980 is an apocalyptic number.

30412980 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 30412980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51046632).

30412980 is an abundant number, since it is smaller than the sum of its proper divisors (71680284).

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

30412980 is a wasteful number, since it uses less digits than its factorization.

30412980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

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

The square root of 30412980 is about 5514.7964604326. The cubic root of 30412980 is about 312.1425630535.

The spelling of 30412980 in words is "thirty million, four hundred twelve thousand, nine hundred eighty".