416129790 has 32 divisors (see below), whose sum is σ = 1003954176. Its totient is φ = 110385440.

The previous prime is 416129789. The next prime is 416129807. The reversal of 416129790 is 97921614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30582 + ... + 42041.

It is an arithmetic number, because the mean of its divisors is an integer number (31373568).

Almost surely, 2^416129790 is an apocalyptic number.

416129790 is an abundant number, since it is smaller than the sum of its proper divisors (587824386).

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

416129790 is a wasteful number, since it uses less digits than its factorization.

416129790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72824.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 416129790 is about 20399.2595453855. The cubic root of 416129790 is about 746.5798583267.

The spelling of 416129790 in words is "four hundred sixteen million, one hundred twenty-nine thousand, seven hundred ninety".