414210820 has 12 divisors (see below), whose sum is σ = 869842764. Its totient is φ = 165684320.

The previous prime is 414210781. The next prime is 414210851. The reversal of 414210820 is 28012414.

It can be written as a sum of positive squares in 2 ways, for example, as 79174404 + 335036416 = 8898^2 + 18304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414210791 and 414210800.

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 3 ways as a sum of consecutive naturals, for example, 10355251 + ... + 10355290.

It is an arithmetic number, because the mean of its divisors is an integer number (72486897).

Almost surely, 2^414210820 is an apocalyptic number.

It is an amenable number.

414210820 is an abundant number, since it is smaller than the sum of its proper divisors (455631944).

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

414210820 is a wasteful number, since it uses less digits than its factorization.

414210820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20710550 (or 20710548 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 414210820 is about 20352.1699088820. The cubic root of 414210820 is about 745.4304795559.

The spelling of 414210820 in words is "four hundred fourteen million, two hundred ten thousand, eight hundred twenty".