413073024 has 128 divisors (see below), whose sum is σ = 1350545280. Its totient is φ = 108933120.

The previous prime is 413073019. The next prime is 413073041. The reversal of 413073024 is 420370314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 413072985 and 413073003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29034 + ... + 40854.

It is an arithmetic number, because the mean of its divisors is an integer number (10551135).

Almost surely, 2^413073024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675272640).

413073024 is an abundant number, since it is smaller than the sum of its proper divisors (937472256).

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

413073024 is a wasteful number, since it uses less digits than its factorization.

413073024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 413073024 is about 20324.1979915568. The cubic root of 413073024 is about 744.7473124689.

The spelling of 413073024 in words is "four hundred thirteen million, seventy-three thousand, twenty-four".