312041400 has 96 divisors (see below), whose sum is σ = 1055289600. Its totient is φ = 75644800.

The previous prime is 312041393. The next prime is 312041423. The reversal of 312041400 is 4140213.

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 312041400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17040 + ... + 30239.

It is an arithmetic number, because the mean of its divisors is an integer number (10992600).

Almost surely, 2^312041400 is an apocalyptic number.

312041400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312041400 is an abundant number, since it is smaller than the sum of its proper divisors (743248200).

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

312041400 is a wasteful number, since it uses less digits than its factorization.

312041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47309 (or 47300 counting only the distinct ones).

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

The square root of 312041400 is about 17664.6936005129. The cubic root of 312041400 is about 678.2722864542.

Adding to 312041400 its reverse (4140213), we get a palindrome (316181613).

The spelling of 312041400 in words is "three hundred twelve million, forty-one thousand, four hundred".