46964610 has 192 divisors, whose sum is σ = 158505984. Its totient is φ = 9720000.

The previous prime is 46964579. The next prime is 46964611. The reversal of 46964610 is 1646964.

46964610 is a `hidden beast` number, since 4 + 6 + 9 + 646 + 1 + 0 = 666.

46964610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46964611) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 186985 + ... + 187235.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^46964610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46964610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

46964610 is an abundant number, since it is smaller than the sum of its proper divisors (111541374).

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

46964610 is a wasteful number, since it uses less digits than its factorization.

46964610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46964610 is about 6853.0730333187. The cubic root of 46964610 is about 360.7920062945.

It can be divided in two parts, 46964 and 610, that added together give a palindrome (47574).

The spelling of 46964610 in words is "forty-six million, nine hundred sixty-four thousand, six hundred ten".