46632960 has 312 divisors, whose sum is σ = 184002624. Its totient is φ = 10813440.

The previous prime is 46632947. The next prime is 46632961. The reversal of 46632960 is 6923664.

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 (46632961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027509 + ... + 2027531.

It is an arithmetic number, because the mean of its divisors is an integer number (589752).

Almost surely, 2^46632960 is an apocalyptic number.

46632960 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 46632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92001312).

46632960 is an abundant number, since it is smaller than the sum of its proper divisors (137369664).

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

46632960 is a wasteful number, since it uses less digits than its factorization.

46632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 46632960 is about 6828.8329896110. The cubic root of 46632960 is about 359.9407309835.

The spelling of 46632960 in words is "forty-six million, six hundred thirty-two thousand, nine hundred sixty".