311616480 has 144 divisors (see below), whose sum is σ = 1141938000. Its totient is φ = 71221248.

The previous prime is 311616469. The next prime is 311616493. The reversal of 311616480 is 84616113.

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 23 ways as a sum of consecutive naturals, for example, 16896 + ... + 30144.

It is an arithmetic number, because the mean of its divisors is an integer number (7930125).

Almost surely, 2^311616480 is an apocalyptic number.

311616480 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 311616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570969000).

311616480 is an abundant number, since it is smaller than the sum of its proper divisors (830321520).

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

311616480 is a wasteful number, since it uses less digits than its factorization.

311616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13281 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 311616480 is about 17652.6621221843. The cubic root of 311616480 is about 677.9642692250.

The spelling of 311616480 in words is "three hundred eleven million, six hundred sixteen thousand, four hundred eighty".