46645920 has 144 divisors (see below), whose sum is σ = 164815560. Its totient is φ = 11999232.

The previous prime is 46645913. The next prime is 46645999. The reversal of 46645920 is 2954664.

46645920 is a `hidden beast` number, since 4 + 6 + 64 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25522704 + 21123216 = 5052^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 41202 + ... + 42318.

Almost surely, 2^46645920 is an apocalyptic number.

46645920 is a gapful number since it is divisible by the number (40) 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 46645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82407780).

46645920 is an abundant number, since it is smaller than the sum of its proper divisors (118169640).

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

46645920 is a wasteful number, since it uses less digits than its factorization.

46645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 46645920 is about 6829.7818413182. The cubic root of 46645920 is about 359.9740722068.

The spelling of 46645920 in words is "forty-six million, six hundred forty-five thousand, nine hundred twenty".