413674560 has 448 divisors, whose sum is σ = 1638604800. Its totient is φ = 97542144.

The previous prime is 413674559. The next prime is 413674561. The reversal of 413674560 is 65476314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413674559) and next prime (413674561).

It is a super-2 number, since 2×413674560² = 342253283182387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413674561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257217 + ... + 3257343.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^413674560 is an apocalyptic number.

413674560 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 413674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

413674560 is an abundant number, since it is smaller than the sum of its proper divisors (1224930240).

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

413674560 is a wasteful number, since it uses less digits than its factorization.

413674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 413674560 is about 20338.9911254221. The cubic root of 413674560 is about 745.1086489290.

The spelling of 413674560 in words is "four hundred thirteen million, six hundred seventy-four thousand, five hundred sixty".