416423025 has 84 divisors (see below), whose sum is σ = 787305388. Its totient is φ = 218350080.

The previous prime is 416423009. The next prime is 416423039. The reversal of 416423025 is 520324614.

It can be written as a sum of positive squares in 6 ways, for example, as 82301184 + 334121841 = 9072^2 + 18279^2 .

It is not a de Polignac number, because 416423025 - 2⁴ = 416423009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416423025.

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 83 ways as a sum of consecutive naturals, for example, 1330269 + ... + 1330581.

Almost surely, 2^416423025 is an apocalyptic number.

416423025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416423025 is a deficient number, since it is larger than the sum of its proper divisors (370882363).

416423025 is an equidigital number, since it uses as much as digits as its factorization.

416423025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 416423025 is about 20406.4456728750. The cubic root of 416423025 is about 746.7551817851.

Adding to 416423025 its reverse (520324614), we get a palindrome (936747639).

The spelling of 416423025 in words is "four hundred sixteen million, four hundred twenty-three thousand, twenty-five".