414284035201 has 3 divisors (see below), whose sum is σ = 414284678851. Its totient is φ = 414283391552.

The previous prime is 414284035199. The next prime is 414284035259. The reversal of 414284035201 is 102530482414.

The square root of 414284035201 is 643649.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 261684425601 + 152599609600 = 511551^2 + 390640^2 .

It is not a de Polignac number, because 414284035201 - 2¹ = 414284035199 is a prime.

It is a super-2 number, since 2×414284035201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414284065201) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 321825 + ... + 965473.

Almost surely, 2^414284035201 is an apocalyptic number.

414284035201 is the 643649-th square number.

414284035201 is the 321825-th centered octagonal number.

It is an amenable number.

414284035201 is a deficient number, since it is larger than the sum of its proper divisors (643650).

414284035201 is an frugal number, since it uses more digits than its factorization.

414284035201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287298 (or 643649 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 414284035201 in words is "four hundred fourteen billion, two hundred eighty-four million, thirty-five thousand, two hundred one".