313420500 has 216 divisors, whose sum is σ = 1054677624. Its totient is φ = 78336000.

The previous prime is 313420477. The next prime is 313420511. The reversal of 313420500 is 5024313.

It can be written as a sum of positive squares in 12 ways, for example, as 91470096 + 221950404 = 9564^2 + 14898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1300380 + ... + 1300620.

Almost surely, 2^313420500 is an apocalyptic number.

313420500 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 313420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527338812).

313420500 is an abundant number, since it is smaller than the sum of its proper divisors (741257124).

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

313420500 is a wasteful number, since it uses less digits than its factorization.

313420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 313420500 is about 17703.6860568640. The cubic root of 313420500 is about 679.2700500447.

Adding to 313420500 its reverse (5024313), we get a palindrome (318444813).

The spelling of 313420500 in words is "three hundred thirteen million, four hundred twenty thousand, five hundred".