46959216 has 80 divisors (see below), whose sum is σ = 126149664. Its totient is φ = 15040512.

The previous prime is 46959191. The next prime is 46959217. The reversal of 46959216 is 61295964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46959217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243216 + ... + 243408.

Almost surely, 2^46959216 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 46959216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63074832).

46959216 is an abundant number, since it is smaller than the sum of its proper divisors (79190448).

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

46959216 is a wasteful number, since it uses less digits than its factorization.

46959216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 46959216 is about 6852.6794759422. The cubic root of 46959216 is about 360.7781931517.

It can be divided in two parts, 469 and 59216, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 46959216 in words is "forty-six million, nine hundred fifty-nine thousand, two hundred sixteen".