413285760 has 128 divisors (see below), whose sum is σ = 1463781600. Its totient is φ = 110204928.

The previous prime is 413285729. The next prime is 413285767. The reversal of 413285760 is 67582314.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413285767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5322 + ... + 29238.

Almost surely, 2^413285760 is an apocalyptic number.

413285760 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 413285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731890800).

413285760 is an abundant number, since it is smaller than the sum of its proper divisors (1050495840).

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

413285760 is a wasteful number, since it uses less digits than its factorization.

413285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23945 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 413285760 is about 20329.4308823440. The cubic root of 413285760 is about 744.8751408548.

The spelling of 413285760 in words is "four hundred thirteen million, two hundred eighty-five thousand, seven hundred sixty".