311977408 has 42 divisors (see below), whose sum is σ = 628571768. Its totient is φ = 153632640.

The previous prime is 311977403. The next prime is 311977411. The reversal of 311977408 is 804779113.

311977408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311977403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322141 + ... + 323107.

Almost surely, 2^311977408 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 311977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314285884).

311977408 is an abundant number, since it is smaller than the sum of its proper divisors (316594360).

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

311977408 is an frugal number, since it uses more digits than its factorization.

311977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 311977408 is about 17662.8822110096. The cubic root of 311977408 is about 678.2259176417.

The spelling of 311977408 in words is "three hundred eleven million, nine hundred seventy-seven thousand, four hundred eight".