319997952 has 144 divisors (see below), whose sum is σ = 959933520. Its totient is φ = 106500096.

The previous prime is 319997947. The next prime is 319997969. The reversal of 319997952 is 259799913.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 497343 + ... + 497985.

It is an arithmetic number, because the mean of its divisors is an integer number (6666205).

Almost surely, 2^319997952 is an apocalyptic number.

319997952 is a gapful number since it is divisible by the number (32) 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 319997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479966760).

319997952 is an abundant number, since it is smaller than the sum of its proper divisors (639935568).

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

319997952 is an frugal number, since it uses more digits than its factorization.

319997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 648 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 319997952 is about 17888.4865765665. The cubic root of 319997952 is about 683.9889194881.

The spelling of 319997952 in words is "three hundred nineteen million, nine hundred ninety-seven thousand, nine hundred fifty-two".