315258840 has 384 divisors, whose sum is σ = 1188794880. Its totient is φ = 71884800.

The previous prime is 315258803. The next prime is 315258859. The reversal of 315258840 is 48852513.

It is a happy number.

315258840 is a `hidden beast` number, since 31 + 5 + 2 + 588 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 315258795 and 315258804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5948254 + ... + 5948306.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^315258840 is an apocalyptic number.

315258840 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 315258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

315258840 is an abundant number, since it is smaller than the sum of its proper divisors (873536040).

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

315258840 is a wasteful number, since it uses less digits than its factorization.

315258840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 315258840 is about 17755.5298428405. The cubic root of 315258840 is about 680.5955278948.

The spelling of 315258840 in words is "three hundred fifteen million, two hundred fifty-eight thousand, eight hundred forty".