416792025 has 108 divisors (see below), whose sum is σ = 823923828. Its totient is φ = 201277440.

The previous prime is 416792021. The next prime is 416792027. The reversal of 416792025 is 520297614.

It can be written as a sum of positive squares in 18 ways, for example, as 412739856 + 4052169 = 20316^2 + 2013^2 .

It is not a de Polignac number, because 416792025 - 2² = 416792021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416792021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3688369 + ... + 3688481.

Almost surely, 2^416792025 is an apocalyptic number.

416792025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416792025 is a deficient number, since it is larger than the sum of its proper divisors (407131803).

416792025 is a wasteful number, since it uses less digits than its factorization.

416792025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 416792025 is about 20415.4849317865. The cubic root of 416792025 is about 746.9756877729.

The spelling of 416792025 in words is "four hundred sixteen million, seven hundred ninety-two thousand, twenty-five".