414654460448 has 54 divisors (see below), whose sum is σ = 829205222391. Its totient is φ = 204112586304.

The previous prime is 414654460427. The next prime is 414654460471. The reversal of 414654460448 is 844064456414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 207327230224 + 207327230224 = 455332^2 + 455332^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=455332.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414654460396 and 414654460405.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244057103 + ... + 244058801.

Almost surely, 2^414654460448 is an apocalyptic number.

It is an amenable number.

414654460448 is a deficient number, since it is larger than the sum of its proper divisors (414550761943).

414654460448 is an frugal number, since it uses more digits than its factorization.

414654460448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 50.

Multiplying 414654460448 by its sum of digits (50), we get a square (20732723022400 = 4553320²).

The spelling of 414654460448 in words is "four hundred fourteen billion, six hundred fifty-four million, four hundred sixty thousand, four hundred forty-eight".