416124025 has 6 divisors (see below), whose sum is σ = 515993822. Its totient is φ = 332899200.

The previous prime is 416124001. The next prime is 416124031. The reversal of 416124025 is 520421614.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17842176 + 398281849 = 4224^2 + 19957^2 .

It is not a de Polignac number, because 416124025 - 2²⁷ = 281906297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 16644961 = 416124025 / (4 + 1 + 6 + 1 + 2 + 4 + 0 + 2 + 5).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8322456 + ... + 8322505.

Almost surely, 2^416124025 is an apocalyptic number.

It is an amenable number.

416124025 is a deficient number, since it is larger than the sum of its proper divisors (99869797).

416124025 is a wasteful number, since it uses less digits than its factorization.

416124025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644971 (or 16644966 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 416124025 is about 20399.1182407476. The cubic root of 416124025 is about 746.5764106421.

Adding to 416124025 its reverse (520421614), we get a palindrome (936545639).

The spelling of 416124025 in words is "four hundred sixteen million, one hundred twenty-four thousand, twenty-five".