312415104 has 64 divisors (see below), whose sum is σ = 842307840. Its totient is φ = 102575616.

The previous prime is 312415097. The next prime is 312415109. The reversal of 312415104 is 401514213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312415109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19657 + ... + 31799.

It is an arithmetic number, because the mean of its divisors is an integer number (13161060).

Almost surely, 2^312415104 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 312415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421153920).

312415104 is an abundant number, since it is smaller than the sum of its proper divisors (529892736).

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

312415104 is a wasteful number, since it uses less digits than its factorization.

312415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 312415104 is about 17675.2681450664. The cubic root of 312415104 is about 678.5429470636.

Adding to 312415104 its reverse (401514213), we get a palindrome (713929317).

It can be divided in two parts, 312 and 415104, that added together give a triangular number (415416 = T₉₁₁).

The spelling of 312415104 in words is "three hundred twelve million, four hundred fifteen thousand, one hundred four".