30258480 has 240 divisors, whose sum is σ = 113992704. Its totient is φ = 6612480.

The previous prime is 30258479. The next prime is 30258491. The reversal of 30258480 is 8485203.

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

It is a super-2 number, since 2×30258480² = 1831151223820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364519 + ... + 364601.

Almost surely, 2^30258480 is an apocalyptic number.

30258480 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 30258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

30258480 is an abundant number, since it is smaller than the sum of its proper divisors (83734224).

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

30258480 is a wasteful number, since it uses less digits than its factorization.

30258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 30258480 is about 5500.7708550711. The cubic root of 30258480 is about 311.6130970044.

The spelling of 30258480 in words is "thirty million, two hundred fifty-eight thousand, four hundred eighty".