316406480 has 80 divisors (see below), whose sum is σ = 795615744. Its totient is φ = 116328960.

The previous prime is 316406479. The next prime is 316406537. The reversal of 316406480 is 84604613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×316406480³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318785 + ... + 319775.

Almost surely, 2^316406480 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 316406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397807872).

316406480 is an abundant number, since it is smaller than the sum of its proper divisors (479209264).

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

316406480 is a wasteful number, since it uses less digits than its factorization.

316406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 316406480 is about 17787.8183035470. The cubic root of 316406480 is about 681.4203874232.

The spelling of 316406480 in words is "three hundred sixteen million, four hundred six thousand, four hundred eighty".