315563040 has 240 divisors, whose sum is σ = 1199982168. Its totient is φ = 77635584.

The previous prime is 315563023. The next prime is 315563081. The reversal of 315563040 is 40365513.

It can be written as a sum of positive squares in 4 ways, for example, as 100881936 + 214681104 = 10044^2 + 14652^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×315563040³ (a number of 26 digits) contains 333 as substring.

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 = 315562995 and 315563013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167544 + ... + 169416.

Almost surely, 2^315563040 is an apocalyptic number.

315563040 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 315563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599991084).

315563040 is an abundant number, since it is smaller than the sum of its proper divisors (884419128).

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

315563040 is a wasteful number, since it uses less digits than its factorization.

315563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 315563040 is about 17764.0941226959. The cubic root of 315563040 is about 680.8143645855.

It can be divided in two parts, 31556 and 3040, that added together give a square (34596 = 186²).

The spelling of 315563040 in words is "three hundred fifteen million, five hundred sixty-three thousand, forty".