319425120 has 360 divisors, whose sum is σ = 1313961264. Its totient is φ = 72866304.

The previous prime is 319425109. The next prime is 319425133. The reversal of 319425120 is 21524913.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634789 + ... + 635291.

Almost surely, 2^319425120 is an apocalyptic number.

319425120 is a gapful number since it is divisible by the number (30) 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 319425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656980632).

319425120 is an abundant number, since it is smaller than the sum of its proper divisors (994536144).

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

319425120 is a wasteful number, since it uses less digits than its factorization.

319425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 319425120 is about 17872.4682123091. The cubic root of 319425120 is about 683.5805369073.

The spelling of 319425120 in words is "three hundred nineteen million, four hundred twenty-five thousand, one hundred twenty".