413603456 has 64 divisors (see below), whose sum is σ = 944666880. Its totient is φ = 176698368.

The previous prime is 413603453. The next prime is 413603459. The reversal of 413603456 is 654306314.

It is an interprime number because it is at equal distance from previous prime (413603453) and next prime (413603459).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (413603453) 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 7 ways as a sum of consecutive naturals, for example, 414350 + ... + 415346.

It is an arithmetic number, because the mean of its divisors is an integer number (14760420).

Almost surely, 2^413603456 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 413603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472333440).

413603456 is an abundant number, since it is smaller than the sum of its proper divisors (531063424).

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

413603456 is an equidigital number, since it uses as much as digits as its factorization.

413603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 413603456 is about 20337.2430776642. The cubic root of 413603456 is about 745.0659557540.

The spelling of 413603456 in words is "four hundred thirteen million, six hundred three thousand, four hundred fifty-six".