316142464 has 64 divisors (see below), whose sum is σ = 709332480. Its totient is φ = 139046400.

The previous prime is 316142459. The next prime is 316142527. The reversal of 316142464 is 464241613.

316142464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40027 + ... + 47269.

It is an arithmetic number, because the mean of its divisors is an integer number (11083320).

Almost surely, 2^316142464 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 316142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354666240).

316142464 is an abundant number, since it is smaller than the sum of its proper divisors (393190016).

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

316142464 is a wasteful number, since it uses less digits than its factorization.

316142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7287 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 316142464 is about 17780.3954961637. The cubic root of 316142464 is about 681.2308043409.

The spelling of 316142464 in words is "three hundred sixteen million, one hundred forty-two thousand, four hundred sixty-four".