319972464 has 160 divisors (see below), whose sum is σ = 1105088000. Its totient is φ = 86593536.

The previous prime is 319972459. The next prime is 319972507. The reversal of 319972464 is 464279913.

It is a happy number.

319972464 is a `hidden beast` number, since 31 + 99 + 72 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54672 + ... + 60240.

It is an arithmetic number, because the mean of its divisors is an integer number (6906800).

Almost surely, 2^319972464 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 319972464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552544000).

319972464 is an abundant number, since it is smaller than the sum of its proper divisors (785115536).

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

319972464 is a wasteful number, since it uses less digits than its factorization.

319972464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5600 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 319972464 is about 17887.7741488426. The cubic root of 319972464 is about 683.9707589839.

The spelling of 319972464 in words is "three hundred nineteen million, nine hundred seventy-two thousand, four hundred sixty-four".