313620480 has 288 divisors, whose sum is σ = 1126878480. Its totient is φ = 80609280.

The previous prime is 313620449. The next prime is 313620481. The reversal of 313620480 is 84026313.

It is a happy number.

313620480 is a `hidden beast` number, since 31 + 3 + 620 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×313620480³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313620481) 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, 3778519 + ... + 3778601.

Almost surely, 2^313620480 is an apocalyptic number.

313620480 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 313620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563439240).

313620480 is an abundant number, since it is smaller than the sum of its proper divisors (813258000).

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

313620480 is a wasteful number, since it uses less digits than its factorization.

313620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 313620480 is about 17709.3331325604. Note that the first 3 decimals coincide. The cubic root of 313620480 is about 679.4144902281.

Adding to 313620480 its reverse (84026313), we get a palindrome (397646793).

The spelling of 313620480 in words is "three hundred thirteen million, six hundred twenty thousand, four hundred eighty".