305142480 has 120 divisors (see below), whose sum is σ = 1029835872. Its totient is φ = 80969472.

The previous prime is 305142473. The next prime is 305142511. The reversal of 305142480 is 84241503.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×305142480² = 186223866201100800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162507 + ... + 164373.

Almost surely, 2^305142480 is an apocalyptic number.

305142480 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 305142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514917936).

305142480 is an abundant number, since it is smaller than the sum of its proper divisors (724693392).

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

305142480 is a wasteful number, since it uses less digits than its factorization.

305142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 305142480 is about 17468.3279108219. The cubic root of 305142480 is about 673.2363506585.

Adding to 305142480 its reverse (84241503), we get a palindrome (389383983).

The spelling of 305142480 in words is "three hundred five million, one hundred forty-two thousand, four hundred eighty".