312402640 has 120 divisors (see below), whose sum is σ = 813385440. Its totient is φ = 111471360.

The previous prime is 312402637. The next prime is 312402647. The reversal of 312402640 is 46204213.

It is a happy number.

It is a super-3 number, since 3×312402640³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312402647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570847 + ... + 571393.

It is an arithmetic number, because the mean of its divisors is an integer number (6778212).

Almost surely, 2^312402640 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 312402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406692720).

312402640 is an abundant number, since it is smaller than the sum of its proper divisors (500982800).

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

312402640 is a wasteful number, since it uses less digits than its factorization.

312402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 312402640 is about 17674.9155584970. The cubic root of 312402640 is about 678.5339233090.

Adding to 312402640 its reverse (46204213), we get a palindrome (358606853).

The spelling of 312402640 in words is "three hundred twelve million, four hundred two thousand, six hundred forty".