30180480 has 128 divisors (see below), whose sum is σ = 105019200. Its totient is φ = 7311360.

The previous prime is 30180461. The next prime is 30180487. The reversal of 30180480 is 8408103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30180480² = 1821722746060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30180480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30180487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20406 + ... + 21834.

Almost surely, 2^30180480 is an apocalyptic number.

30180480 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 30180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

30180480 is an abundant number, since it is smaller than the sum of its proper divisors (74838720).

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

30180480 is a wasteful number, since it uses less digits than its factorization.

30180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 30180480 is about 5493.6763646942. The cubic root of 30180480 is about 311.3451089162.

Adding to 30180480 its reverse (8408103), we get a palindrome (38588583).

The spelling of 30180480 in words is "thirty million, one hundred eighty thousand, four hundred eighty".