416960034 has 16 divisors (see below), whose sum is σ = 834130272. Its totient is φ = 138951648.

The previous prime is 416959987. The next prime is 416960039. The reversal of 416960034 is 430069614.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416959977 and 416960004.

It is not an unprimeable number, because it can be changed into a prime (416960039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30717 + ... + 42159.

It is an arithmetic number, because the mean of its divisors is an integer number (52133142).

Almost surely, 2^416960034 is an apocalyptic number.

416960034 is an abundant number, since it is smaller than the sum of its proper divisors (417170238).

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

416960034 is a wasteful number, since it uses less digits than its factorization.

416960034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 416960034 is about 20419.5992614938. The cubic root of 416960034 is about 747.0760430034.

The spelling of 416960034 in words is "four hundred sixteen million, nine hundred sixty thousand, thirty-four".