315719040 has 384 divisors, whose sum is σ = 1254355200. Its totient is φ = 66134016.

The previous prime is 315719023. The next prime is 315719051. The reversal of 315719040 is 40917513.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 315718989 and 315719007.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2271291 + ... + 2271429.

It is an arithmetic number, because the mean of its divisors is an integer number (3266550).

Almost surely, 2^315719040 is an apocalyptic number.

315719040 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 315719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627177600).

315719040 is an abundant number, since it is smaller than the sum of its proper divisors (938636160).

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

315719040 is a wasteful number, since it uses less digits than its factorization.

315719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 315719040 is about 17768.4844598519. The cubic root of 315719040 is about 680.9265339789.

The spelling of 315719040 in words is "three hundred fifteen million, seven hundred nineteen thousand, forty".