46628824 has 64 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 19622400.

The previous prime is 46628809. The next prime is 46628833. The reversal of 46628824 is 42882664.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105997 + ... + 106435.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2^46628824 is an apocalyptic number.

46628824 is a gapful number since it is divisible by the number (44) 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 46628824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321600).

46628824 is an abundant number, since it is smaller than the sum of its proper divisors (56014376).

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

46628824 is a wasteful number, since it uses less digits than its factorization.

46628824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 46628824 is about 6828.5301493074. The cubic root of 46628824 is about 359.9300893051.

The spelling of 46628824 in words is "forty-six million, six hundred twenty-eight thousand, eight hundred twenty-four".