311505480 has 256 divisors, whose sum is σ = 1220486400. Its totient is φ = 69672960.

The previous prime is 311505463. The next prime is 311505487. The reversal of 311505480 is 84505113.

311505480 is a `hidden beast` number, since 3 + 115 + 0 + 548 + 0 = 666.

It is a super-3 number, since 3×311505480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (311505487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153432 + ... + 155448.

It is an arithmetic number, because the mean of its divisors is an integer number (4767525).

Almost surely, 2^311505480 is an apocalyptic number.

311505480 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 311505480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610243200).

311505480 is an abundant number, since it is smaller than the sum of its proper divisors (908980920).

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

311505480 is a wasteful number, since it uses less digits than its factorization.

311505480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 311505480 is about 17649.5178404397. The cubic root of 311505480 is about 677.8837611049.

The spelling of 311505480 in words is "three hundred eleven million, five hundred five thousand, four hundred eighty".