313440000 has 180 divisors, whose sum is σ = 1044022056. Its totient is φ = 83456000.

The previous prime is 313439989. The next prime is 313440031. The reversal of 313440000 is 44313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479674 + ... + 480326.

Almost surely, 2^313440000 is an apocalyptic number.

313440000 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 313440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522011028).

313440000 is an abundant number, since it is smaller than the sum of its proper divisors (730582056).

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

313440000 is an frugal number, since it uses more digits than its factorization.

313440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 313440000 is about 17704.2367810646. The cubic root of 313440000 is about 679.2841370740.

Adding to 313440000 its reverse (44313), we get a palindrome (313484313).

It can be divided in two parts, 3134 and 40000, that added together give a palindrome (43134).

The spelling of 313440000 in words is "three hundred thirteen million, four hundred forty thousand".