46505952 has 72 divisors (see below), whose sum is σ = 136543680. Its totient is φ = 14999040.

The previous prime is 46505951. The next prime is 46506041. The reversal of 46505952 is 25950564.

46505952 is a `hidden beast` number, since 4 + 65 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46505951) 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, 6324 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (1896440).

Almost surely, 2^46505952 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 46505952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68271840).

46505952 is an abundant number, since it is smaller than the sum of its proper divisors (90037728).

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

46505952 is a wasteful number, since it uses less digits than its factorization.

46505952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 46505952 is about 6819.5272563426. The cubic root of 46505952 is about 359.6136596144.

The spelling of 46505952 in words is "forty-six million, five hundred five thousand, nine hundred fifty-two".