311892480 has 120 divisors (see below), whose sum is σ = 1080251172. Its totient is φ = 83165184.

The previous prime is 311892479. The next prime is 311892487. The reversal of 311892480 is 84298113.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 18249984 = 17136^2 + 4272^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (311892487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16272 + ... + 29808.

Almost surely, 2^311892480 is an apocalyptic number.

311892480 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 311892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540125586).

311892480 is an abundant number, since it is smaller than the sum of its proper divisors (768358692).

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

311892480 is a wasteful number, since it uses less digits than its factorization.

311892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 311892480 is about 17660.4779097283. The cubic root of 311892480 is about 678.1643687423.

The spelling of 311892480 in words is "three hundred eleven million, eight hundred ninety-two thousand, four hundred eighty".