30494880 has 240 divisors, whose sum is σ = 116540424. Its totient is φ = 7464960.

The previous prime is 30494879. The next prime is 30494881. The reversal of 30494880 is 8849403.

It is an interprime number because it is at equal distance from previous prime (30494879) and next prime (30494881).

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 21566736 = 2988^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30494881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168390 + ... + 168570.

Almost surely, 2^30494880 is an apocalyptic number.

30494880 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 30494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58270212).

30494880 is an abundant number, since it is smaller than the sum of its proper divisors (86045544).

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

30494880 is a wasteful number, since it uses less digits than its factorization.

30494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30494880 is about 5522.2169461187. The cubic root of 30494880 is about 312.4225045172.

The spelling of 30494880 in words is "thirty million, four hundred ninety-four thousand, eight hundred eighty".