46960032 has 144 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 13128192.

The previous prime is 46960031. The next prime is 46960033. The reversal of 46960032 is 23006964.

It is an interprime number because it is at equal distance from previous prime (46960031) and next prime (46960033).

It is not an unprimeable number, because it can be changed into a prime (46960031) 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 23 ways as a sum of consecutive naturals, for example, 315094 + ... + 315242.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^46960032 is an apocalyptic number.

46960032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

46960032 is an abundant number, since it is smaller than the sum of its proper divisors (99552768).

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

46960032 is a wasteful number, since it uses less digits than its factorization.

46960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 46960032 is about 6852.7390144379. The cubic root of 46960032 is about 360.7802828608.

Adding to 46960032 its reverse (23006964), we get a palindrome (69966996).

The spelling of 46960032 in words is "forty-six million, nine hundred sixty thousand, thirty-two".