413832931488 has 288 divisors, whose sum is σ = 1219982400000. Its totient is φ = 132964374528.

The previous prime is 413832931471. The next prime is 413832931513. The reversal of 413832931488 is 884139238314.

It is a happy number.

413832931488 is a `hidden beast` number, since 4 + 138 + 3 + 29 + 3 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829324263 + ... + 829324761.

It is an arithmetic number, because the mean of its divisors is an integer number (4236050000).

Almost surely, 2^413832931488 is an apocalyptic number.

413832931488 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 413832931488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609991200000).

413832931488 is an abundant number, since it is smaller than the sum of its proper divisors (806149468512).

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

413832931488 is a wasteful number, since it uses less digits than its factorization.

413832931488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1113 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 413832931488 in words is "four hundred thirteen billion, eight hundred thirty-two million, nine hundred thirty-one thousand, four hundred eighty-eight".