311420400 has 60 divisors (see below), whose sum is σ = 997587192. Its totient is φ = 83045120.

The previous prime is 311420381. The next prime is 311420407. The reversal of 311420400 is 4024113.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311420400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311420407) 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, 128559 + ... + 130958.

Almost surely, 2^311420400 is an apocalyptic number.

311420400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311420400 is an abundant number, since it is smaller than the sum of its proper divisors (686166792).

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

311420400 is a wasteful number, since it uses less digits than its factorization.

311420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259538 (or 259527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 311420400 is about 17647.1074116978. The cubic root of 311420400 is about 677.8220397702.

Adding to 311420400 its reverse (4024113), we get a palindrome (315444513).

The spelling of 311420400 in words is "three hundred eleven million, four hundred twenty thousand, four hundred".