416713505 has 8 divisors (see below), whose sum is σ = 538522152. Its totient is φ = 307726848.

The previous prime is 416713481. The next prime is 416713513. The reversal of 416713505 is 505317614.

It can be written as a sum of positive squares in 4 ways, for example, as 75498721 + 341214784 = 8689^2 + 18472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 416713505 - 2¹⁶ = 416647969 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3205424 + ... + 3205553.

It is an arithmetic number, because the mean of its divisors is an integer number (67315269).

Almost surely, 2^416713505 is an apocalyptic number.

It is an amenable number.

416713505 is a deficient number, since it is larger than the sum of its proper divisors (121808647).

416713505 is a wasteful number, since it uses less digits than its factorization.

416713505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410995.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 416713505 is about 20413.5617911231. The cubic root of 416713505 is about 746.9287769148.

The spelling of 416713505 in words is "four hundred sixteen million, seven hundred thirteen thousand, five hundred five".