311461480 has 64 divisors (see below), whose sum is σ = 780814080. Its totient is φ = 110841600.

The previous prime is 311461441. The next prime is 311461483. The reversal of 311461480 is 84164113.

It is not an unprimeable number, because it can be changed into a prime (311461483) 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, 13150 + ... + 28210.

It is an arithmetic number, because the mean of its divisors is an integer number (12200220).

Almost surely, 2^311461480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390407040).

311461480 is an abundant number, since it is smaller than the sum of its proper divisors (469352600).

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

311461480 is a wasteful number, since it uses less digits than its factorization.

311461480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15130 (or 15126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 311461480 is about 17648.2713034450. The cubic root of 311461480 is about 677.8518426831.

The spelling of 311461480 in words is "three hundred eleven million, four hundred sixty-one thousand, four hundred eighty".