46430856 has 96 divisors (see below), whose sum is σ = 133824600. Its totient is φ = 14515200.

The previous prime is 46430837. The next prime is 46430861. The reversal of 46430856 is 65803464.

46430856 is a `hidden beast` number, since 4 + 643 + 0 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46376100 + 54756 = 6810^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46430856.

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 23 ways as a sum of consecutive naturals, for example, 76956 + ... + 77556.

Almost surely, 2^46430856 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 46430856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66912300).

46430856 is an abundant number, since it is smaller than the sum of its proper divisors (87393744).

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

46430856 is a wasteful number, since it uses less digits than its factorization.

46430856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46430856 is about 6814.0190783414. The cubic root of 46430856 is about 359.4199919574.

The spelling of 46430856 in words is "forty-six million, four hundred thirty thousand, eight hundred fifty-six".