30114480 has 240 divisors, whose sum is σ = 110430432. Its totient is φ = 6758400.

The previous prime is 30114467. The next prime is 30114481. The reversal of 30114480 is 8441103.

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

It is not an unprimeable number, because it can be changed into a prime (30114481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493650 + ... + 493710.

Almost surely, 2^30114480 is an apocalyptic number.

30114480 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 30114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55215216).

30114480 is an abundant number, since it is smaller than the sum of its proper divisors (80315952).

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

30114480 is a wasteful number, since it uses less digits than its factorization.

30114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 30114480 is about 5487.6661706048. Note that the first 3 decimals coincide. The cubic root of 30114480 is about 311.1179888880.

Adding to 30114480 its reverse (8441103), we get a palindrome (38555583).

The spelling of 30114480 in words is "thirty million, one hundred fourteen thousand, four hundred eighty".