46080576 has 84 divisors (see below), whose sum is σ = 137019792. Its totient is φ = 15355008.

The previous prime is 46080571. The next prime is 46080583. The reversal of 46080576 is 67508064.

It is a happy number.

46080576 is a `hidden beast` number, since 4 + 6 + 0 + 80 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46080576.

It is not an unprimeable number, because it can be changed into a prime (46080571) 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 11 ways as a sum of consecutive naturals, for example, 14071 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (1631188).

Almost surely, 2^46080576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68509896).

46080576 is an abundant number, since it is smaller than the sum of its proper divisors (90939216).

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

46080576 is an equidigital number, since it uses as much as digits as its factorization.

46080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 46080576 is about 6788.2675256651. The cubic root of 46080576 is about 358.5138735199.

It can be divided in two parts, 46080 and 576, that added together give a 6-th power (46656 = 6⁶).

The spelling of 46080576 in words is "forty-six million, eighty thousand, five hundred seventy-six".