46753252 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 18123840.

The previous prime is 46753241. The next prime is 46753253. The reversal of 46753252 is 25235764.

46753252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46753253) 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 23 ways as a sum of consecutive naturals, for example, 150177 + ... + 150487.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^46753252 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 46753252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

46753252 is an abundant number, since it is smaller than the sum of its proper divisors (57816668).

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

46753252 is a wasteful number, since it uses less digits than its factorization.

46753252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its digits is 50400, while the sum is 34.

The square root of 46753252 is about 6837.6349712455. The cubic root of 46753252 is about 360.2499601489.

It can be divided in two parts, 4675325 and 2, that multiplied together give a triangular number (9350650 = T₄₃₂₄).

The spelling of 46753252 in words is "forty-six million, seven hundred fifty-three thousand, two hundred fifty-two".