311904420 has 96 divisors (see below), whose sum is σ = 892394496. Its totient is φ = 81379200.

The previous prime is 311904401. The next prime is 311904427. The reversal of 311904420 is 24409113.

311904420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (311904427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898687 + ... + 899033.

It is an arithmetic number, because the mean of its divisors is an integer number (9295776).

Almost surely, 2^311904420 is an apocalyptic number.

311904420 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 311904420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446197248).

311904420 is an abundant number, since it is smaller than the sum of its proper divisors (580490076).

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

311904420 is a wasteful number, since it uses less digits than its factorization.

311904420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 311904420 is about 17660.8159494402. The cubic root of 311904420 is about 678.1730225571.

The spelling of 311904420 in words is "three hundred eleven million, nine hundred four thousand, four hundred twenty".