315476640 has 192 divisors, whose sum is σ = 1116460800. Its totient is φ = 83192832.

The previous prime is 315476621. The next prime is 315476647. The reversal of 315476640 is 46674513.

It is a happy number.

315476640 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 7 + 6 + 640 = 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 = 315476595 and 315476604.

It is not an unprimeable number, because it can be changed into a prime (315476647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 444606 + ... + 445314.

It is an arithmetic number, because the mean of its divisors is an integer number (5814900).

Almost surely, 2^315476640 is an apocalyptic number.

315476640 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 315476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558230400).

315476640 is an abundant number, since it is smaller than the sum of its proper divisors (800984160).

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

315476640 is a wasteful number, since it uses less digits than its factorization.

315476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 315476640 is about 17761.6620843884. The cubic root of 315476640 is about 680.7522240907.

The spelling of 315476640 in words is "three hundred fifteen million, four hundred seventy-six thousand, six hundred forty".