413953056 has 144 divisors (see below), whose sum is σ = 1315929888. Its totient is φ = 122342400.

The previous prime is 413953051. The next prime is 413953063. The reversal of 413953056 is 650359314.

413953056 is a `hidden beast` number, since 41 + 39 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 413953056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413953051) 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 23 ways as a sum of consecutive naturals, for example, 128295 + ... + 131481.

It is an arithmetic number, because the mean of its divisors is an integer number (9138402).

Almost surely, 2^413953056 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 413953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657964944).

413953056 is an abundant number, since it is smaller than the sum of its proper divisors (901976832).

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

413953056 is a wasteful number, since it uses less digits than its factorization.

413953056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 413953056 is about 20345.8363308073. The cubic root of 413953056 is about 745.2758199767.

The spelling of 413953056 in words is "four hundred thirteen million, nine hundred fifty-three thousand, fifty-six".