46873152 has 84 divisors (see below), whose sum is σ = 141457680. Its totient is φ = 14798592.

The previous prime is 46873129. The next prime is 46873157. The reversal of 46873152 is 25137864.

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

It is not an unprimeable number, because it can be changed into a prime (46873157) 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 11 ways as a sum of consecutive naturals, for example, 8803 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (1684020).

Almost surely, 2^46873152 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 46873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70728840).

46873152 is an abundant number, since it is smaller than the sum of its proper divisors (94584528).

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

46873152 is a wasteful number, since it uses less digits than its factorization.

46873152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4307 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 46873152 is about 6846.3970086462. The cubic root of 46873152 is about 360.5576542440.

The spelling of 46873152 in words is "forty-six million, eight hundred seventy-three thousand, one hundred fifty-two".