413623914496 has 117 divisors (see below), whose sum is σ = 896828076759. Its totient is φ = 190656380928.

The previous prime is 413623914367. The next prime is 413623914521. The reversal of 413623914496 is 694419326314.

The square root of 413623914496 is 643136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 262209540096 + 151414374400 = 512064^2 + 389120^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 535088766 + ... + 535089538.

Almost surely, 2^413623914496 is an apocalyptic number.

413623914496 is the 643136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413623914496

413623914496 is an abundant number, since it is smaller than the sum of its proper divisors (483204162263).

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

413623914496 is an frugal number, since it uses more digits than its factorization.

413623914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 788 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 52.

The spelling of 413623914496 in words is "four hundred thirteen billion, six hundred twenty-three million, nine hundred fourteen thousand, four hundred ninety-six".