46892952 has 64 divisors (see below), whose sum is σ = 135936000. Its totient is φ = 14949792.

The previous prime is 46892947. The next prime is 46892977. The reversal of 46892952 is 25929864.

46892952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46892898 and 46892907.

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 15 ways as a sum of consecutive naturals, for example, 249 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (2124000).

Almost surely, 2^46892952 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 46892952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67968000).

46892952 is an abundant number, since it is smaller than the sum of its proper divisors (89043048).

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

46892952 is a wasteful number, since it uses less digits than its factorization.

46892952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9467 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 46892952 is about 6847.8428720291. The cubic root of 46892952 is about 360.6084156164.

The spelling of 46892952 in words is "forty-six million, eight hundred ninety-two thousand, nine hundred fifty-two".