916059456 has 336 divisors, whose sum is σ = 3075456384. Its totient is φ = 268240896.

The previous prime is 916059437. The next prime is 916059461. The reversal of 916059456 is 654950619.

It is a happy number.

916059456 is a `hidden beast` number, since 9 + 1 + 6 + 0 + 594 + 56 = 666.

916059456 is nontrivially palindromic in base 11.

916059456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4649950 + ... + 4650146.

It is an arithmetic number, because the mean of its divisors is an integer number (9153144).

Almost surely, 2^916059456 is an apocalyptic number.

916059456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537728192).

916059456 is an abundant number, since it is smaller than the sum of its proper divisors (2159396928).

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

916059456 is a wasteful number, since it uses less digits than its factorization.

916059456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 916059456 is about 30266.4741256725. The cubic root of 916059456 is about 971.1982414540.

The spelling of 916059456 in words is "nine hundred sixteen million, fifty-nine thousand, four hundred fifty-six".