413260315248 has 160 divisors (see below), whose sum is σ = 1171593584640. Its totient is φ = 124485304320.

The previous prime is 413260315243. The next prime is 413260315289. The reversal of 413260315248 is 842513062314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413260315243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63292848 + ... + 63299376.

It is an arithmetic number, because the mean of its divisors is an integer number (7322459904).

Almost surely, 2^413260315248 is an apocalyptic number.

413260315248 is a gapful number since it is divisible by the number (48) 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 413260315248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585796792320).

413260315248 is an abundant number, since it is smaller than the sum of its proper divisors (758333269392).

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

413260315248 is a wasteful number, since it uses less digits than its factorization.

413260315248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 413260315248 in words is "four hundred thirteen billion, two hundred sixty million, three hundred fifteen thousand, two hundred forty-eight".