416158096 has 80 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 190494720.

The previous prime is 416158087. The next prime is 416158103. The reversal of 416158096 is 690851614.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2299126 + ... + 2299306.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^416158096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416158096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

416158096 is an abundant number, since it is smaller than the sum of its proper divisors (461285744).

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

416158096 is a wasteful number, since it uses less digits than its factorization.

416158096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 416158096 is about 20399.9533332800. The cubic root of 416158096 is about 746.5967859062.

The spelling of 416158096 in words is "four hundred sixteen million, one hundred fifty-eight thousand, ninety-six".