311120448 has 112 divisors (see below), whose sum is σ = 877824000. Its totient is φ = 97022464.

The previous prime is 311120443. The next prime is 311120477. The reversal of 311120448 is 844021113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (311120443) 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, 206803 + ... + 208301.

Almost surely, 2^311120448 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 311120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912000).

311120448 is an abundant number, since it is smaller than the sum of its proper divisors (566703552).

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

311120448 is a wasteful number, since it uses less digits than its factorization.

311120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 311120448 is about 17638.6067476998. The cubic root of 311120448 is about 677.6043496991.

The spelling of 311120448 in words is "three hundred eleven million, one hundred twenty thousand, four hundred forty-eight".