413481608388 has 48 divisors (see below), whose sum is σ = 1072130962560. Its totient is φ = 137808996192.

The previous prime is 413481608387. The next prime is 413481608389. The reversal of 413481608388 is 883806184314.

413481608388 is a `hidden beast` number, since 4 + 1 + 3 + 481 + 6 + 0 + 83 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (413481608387) and next prime (413481608389).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (413481608387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581170 + ... + 1079222.

It is an arithmetic number, because the mean of its divisors is an integer number (22336061720).

Almost surely, 2^413481608388 is an apocalyptic number.

It is an amenable number.

413481608388 is an abundant number, since it is smaller than the sum of its proper divisors (658649354172).

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

413481608388 is a wasteful number, since it uses less digits than its factorization.

413481608388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505753 (or 505745 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 413481608388 in words is "four hundred thirteen billion, four hundred eighty-one million, six hundred eight thousand, three hundred eighty-eight".