312244440 has 128 divisors (see below), whose sum is σ = 997272000. Its totient is φ = 77938688.

The previous prime is 312244417. The next prime is 312244441. The reversal of 312244440 is 44442213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312244440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312244441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548476 + ... + 549044.

Almost surely, 2^312244440 is an apocalyptic number.

312244440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498636000).

312244440 is an abundant number, since it is smaller than the sum of its proper divisors (685027560).

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

312244440 is a wasteful number, since it uses less digits than its factorization.

312244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 312244440 is about 17670.4397228818. The cubic root of 312244440 is about 678.4193679482.

Adding to 312244440 its reverse (44442213), we get a palindrome (356686653).

The spelling of 312244440 in words is "three hundred twelve million, two hundred forty-four thousand, four hundred forty".