311028480 has 648 divisors, whose sum is σ = 1363143600. Its totient is φ = 65028096.

The previous prime is 311028479. The next prime is 311028491. The reversal of 311028480 is 84820113.

It is a super-2 number, since 2×311028480² = 193477430742220800, which contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10725106 + ... + 10725134.

Almost surely, 2^311028480 is an apocalyptic number.

311028480 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 311028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681571800).

311028480 is an abundant number, since it is smaller than the sum of its proper divisors (1052115120).

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

311028480 is a wasteful number, since it uses less digits than its factorization.

311028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 311028480 is about 17635.9995463824. Note that the first 3 decimals coincide. The cubic root of 311028480 is about 677.5375759264.

Adding to 311028480 its reverse (84820113), we get a palindrome (395848593).

The spelling of 311028480 in words is "three hundred eleven million, twenty-eight thousand, four hundred eighty".