319463040 has 128 divisors (see below), whose sum is σ = 1096704000. Its totient is φ = 78630912.

The previous prime is 319462991. The next prime is 319463041. The reversal of 319463040 is 40364913.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 319462989 and 319463007.

It is not an unprimeable number, because it can be changed into a prime (319463041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18561 + ... + 31359.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^319463040 is an apocalyptic number.

319463040 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 319463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352000).

319463040 is an abundant number, since it is smaller than the sum of its proper divisors (777240960).

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

319463040 is a wasteful number, since it uses less digits than its factorization.

319463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 319463040 is about 17873.5290303846. The cubic root of 319463040 is about 683.6075858635.

The spelling of 319463040 in words is "three hundred nineteen million, four hundred sixty-three thousand, forty".