46553040 has 240 divisors, whose sum is σ = 170614080. Its totient is φ = 11335680.

The previous prime is 46553029. The next prime is 46553053. The reversal of 46553040 is 4035564.

46553040 is a `hidden beast` number, since 4 + 655 + 3 + 0 + 4 + 0 = 666.

46553040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 46552995 and 46553013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560839 + ... + 560921.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^46553040 is an apocalyptic number.

46553040 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 46553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

46553040 is an abundant number, since it is smaller than the sum of its proper divisors (124061040).

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

46553040 is a wasteful number, since it uses less digits than its factorization.

46553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 46553040 is about 6822.9788215998. The cubic root of 46553040 is about 359.7349901491.

The spelling of 46553040 in words is "forty-six million, five hundred fifty-three thousand, forty".