312521440 has 96 divisors (see below), whose sum is σ = 920553984. Its totient is φ = 97405440.

The previous prime is 312521437. The next prime is 312521449. The reversal of 312521440 is 44125213.

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 (312521449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 25003.

It is an arithmetic number, because the mean of its divisors is an integer number (9589104).

Almost surely, 2^312521440 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 312521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460276992).

312521440 is an abundant number, since it is smaller than the sum of its proper divisors (608032544).

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

312521440 is a wasteful number, since it uses less digits than its factorization.

312521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25400 (or 25392 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 312521440 is about 17678.2759340384. The cubic root of 312521440 is about 678.6199230241.

Adding to 312521440 its reverse (44125213), we get a palindrome (356646653).

The spelling of 312521440 in words is "three hundred twelve million, five hundred twenty-one thousand, four hundred forty".