46580928 has 112 divisors (see below), whose sum is σ = 129722880. Its totient is φ = 14736384.

The previous prime is 46580927. The next prime is 46580939. The reversal of 46580928 is 82908564.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46580928.

It is not an unprimeable number, because it can be changed into a prime (46580921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561175 + ... + 561257.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^46580928 is an apocalyptic number.

46580928 is a gapful number since it is divisible by the number (48) 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 46580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64861440).

46580928 is an abundant number, since it is smaller than the sum of its proper divisors (83141952).

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

46580928 is a wasteful number, since it uses less digits than its factorization.

46580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 46580928 is about 6825.0221977661. The cubic root of 46580928 is about 359.8068099254.

The spelling of 46580928 in words is "forty-six million, five hundred eighty thousand, nine hundred twenty-eight".