413282567292 has 384 divisors, whose sum is σ = 1222970112000. Its totient is φ = 108198623232.

The previous prime is 413282567207. The next prime is 413282567303. The reversal of 413282567292 is 292765282314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 674196378 + ... + 674196990.

It is an arithmetic number, because the mean of its divisors is an integer number (3184818000).

Almost surely, 2^413282567292 is an apocalyptic number.

413282567292 is a gapful number since it is divisible by the number (42) 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 413282567292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611485056000).

413282567292 is an abundant number, since it is smaller than the sum of its proper divisors (809687544708).

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

413282567292 is a wasteful number, since it uses less digits than its factorization.

413282567292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 413282567292 in words is "four hundred thirteen billion, two hundred eighty-two million, five hundred sixty-seven thousand, two hundred ninety-two".