46205952 has 132 divisors (see below), whose sum is σ = 134856360. Its totient is φ = 14057472.

The previous prime is 46205941. The next prime is 46205953. The reversal of 46205952 is 25950264.

It is not an unprimeable number, because it can be changed into a prime (46205953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519124 + ... + 519212.

Almost surely, 2^46205952 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 46205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67428180).

46205952 is an abundant number, since it is smaller than the sum of its proper divisors (88650408).

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

46205952 is a wasteful number, since it uses less digits than its factorization.

46205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 46205952 is about 6797.4960095612. The cubic root of 46205952 is about 358.8387271788.

The spelling of 46205952 in words is "forty-six million, two hundred five thousand, nine hundred fifty-two".