416828405 has 16 divisors (see below), whose sum is σ = 572106240. Its totient is φ = 285597312.

The previous prime is 416828359. The next prime is 416828413. The reversal of 416828405 is 504828614.

It is a happy number.

It is not a de Polignac number, because 416828405 - 2⁶ = 416828341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48041 + ... + 56049.

It is an arithmetic number, because the mean of its divisors is an integer number (35756640).

Almost surely, 2^416828405 is an apocalyptic number.

It is an amenable number.

416828405 is a deficient number, since it is larger than the sum of its proper divisors (155277835).

416828405 is a wasteful number, since it uses less digits than its factorization.

416828405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508.

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 416828405 is about 20416.3759026914. The cubic root of 416828405 is about 746.9974205823.

The spelling of 416828405 in words is "four hundred sixteen million, eight hundred twenty-eight thousand, four hundred five".