316134400 has 132 divisors (see below), whose sum is σ = 801842652. Its totient is φ = 123535360.

The previous prime is 316134383. The next prime is 316134421. The reversal of 316134400 is 4431613.

It can be written as a sum of positive squares in 6 ways, for example, as 10863616 + 305270784 = 3296^2 + 17472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356684 + ... + 1356916.

Almost surely, 2^316134400 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 316134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400921326).

316134400 is an abundant number, since it is smaller than the sum of its proper divisors (485708252).

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

316134400 is a wasteful number, since it uses less digits than its factorization.

316134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 316134400 is about 17780.1687281083. The cubic root of 316134400 is about 681.2250121295.

The spelling of 316134400 in words is "three hundred sixteen million, one hundred thirty-four thousand, four hundred".