319451040 has 180 divisors, whose sum is σ = 1134622566. Its totient is φ = 84644352.

The previous prime is 319451039. The next prime is 319451053. The reversal of 319451040 is 40154913.

It can be written as a sum of positive squares in 3 ways, for example, as 194100624 + 125350416 = 13932^2 + 11196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 319450995 and 319451013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2034642 + ... + 2034798.

Almost surely, 2^319451040 is an apocalyptic number.

319451040 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 319451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567311283).

319451040 is an abundant number, since it is smaller than the sum of its proper divisors (815171526).

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

319451040 is an equidigital number, since it uses as much as digits as its factorization.

319451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 167 counting only the distinct ones).

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

The square root of 319451040 is about 17873.1933352717. The cubic root of 319451040 is about 683.5990262988.

The spelling of 319451040 in words is "three hundred nineteen million, four hundred fifty-one thousand, forty".