413123760 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 93063168.

The previous prime is 413123741. The next prime is 413123771. The reversal of 413123760 is 67321314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345527 + ... + 1345833.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^413123760 is an apocalyptic number.

413123760 is a gapful number since it is divisible by the number (40) 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 413123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

413123760 is an abundant number, since it is smaller than the sum of its proper divisors (1236770640).

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

413123760 is a wasteful number, since it uses less digits than its factorization.

413123760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 413123760 is about 20325.4461205652. The cubic root of 413123760 is about 744.7778026006. Note that the first 3 decimals are identical.

The spelling of 413123760 in words is "four hundred thirteen million, one hundred twenty-three thousand, seven hundred sixty".