413374528 has 56 divisors (see below), whose sum is σ = 948854592. Its totient is φ = 175010304.

The previous prime is 413374519. The next prime is 413374529. The reversal of 413374528 is 825473314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (413374529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31626 + ... + 42742.

It is an arithmetic number, because the mean of its divisors is an integer number (16943832).

Almost surely, 2^413374528 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 413374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474427296).

413374528 is an abundant number, since it is smaller than the sum of its proper divisors (535480064).

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

413374528 is a wasteful number, since it uses less digits than its factorization.

413374528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11209 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 413374528 is about 20331.6140038119. The cubic root of 413374528 is about 744.9284666239.

It can be divided in two parts, 41 and 3374528, that added together give a square (3374569 = 1837²).

The spelling of 413374528 in words is "four hundred thirteen million, three hundred seventy-four thousand, five hundred twenty-eight".