46080720 has 240 divisors, whose sum is σ = 181988352. Its totient is φ = 10229760.

The previous prime is 46080709. The next prime is 46080721. The reversal of 46080720 is 2708064.

46080720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46080721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206529 + ... + 206751.

Almost surely, 2^46080720 is an apocalyptic number.

46080720 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 46080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

46080720 is an abundant number, since it is smaller than the sum of its proper divisors (135907632).

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

46080720 is a wasteful number, since it uses less digits than its factorization.

46080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 46080720 is about 6788.2781321923. The cubic root of 46080720 is about 358.5142469668.

Adding to 46080720 its reverse (2708064), we get a palindrome (48788784).

It can be divided in two parts, 46080 and 720, that multiplied together give a square (33177600 = 5760²).

The spelling of 46080720 in words is "forty-six million, eighty thousand, seven hundred twenty".