46628960 has 192 divisors, whose sum is σ = 139345920. Its totient is φ = 14376960.

The previous prime is 46628957. The next prime is 46628987. The reversal of 46628960 is 6982664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590201 + ... + 590279.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^46628960 is an apocalyptic number.

46628960 is a gapful number since it is divisible by the number (40) 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 46628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

46628960 is an abundant number, since it is smaller than the sum of its proper divisors (92716960).

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

46628960 is a wasteful number, since it uses less digits than its factorization.

46628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 46628960 is about 6828.5401075193. The cubic root of 46628960 is about 359.9304392349.

The spelling of 46628960 in words is "forty-six million, six hundred twenty-eight thousand, nine hundred sixty".