46434816 has 80 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 15473664.

The previous prime is 46434809. The next prime is 46434823. The reversal of 46434816 is 61843464.

46434816 is a `hidden beast` number, since 4 + 643 + 4 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (46434809) and next prime (46434823).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12145 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^46434816 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 46434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

46434816 is an abundant number, since it is smaller than the sum of its proper divisors (91056384).

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

46434816 is an equidigital number, since it uses as much as digits as its factorization.

46434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3364 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 46434816 is about 6814.3096495537. The cubic root of 46434816 is about 359.4302097510.

The spelling of 46434816 in words is "forty-six million, four hundred thirty-four thousand, eight hundred sixteen".