46080580 has 72 divisors (see below), whose sum is σ = 121260888. Its totient is φ = 14579712.

The previous prime is 46080571. The next prime is 46080583. The reversal of 46080580 is 8508064.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 43665664 = 1554^2 + 6608^2 .

It is a super-3 number, since 3×46080580³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46080583) 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, 10932 + ... + 14548.

It is an arithmetic number, because the mean of its divisors is an integer number (1684179).

Almost surely, 2^46080580 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 46080580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60630444).

46080580 is an abundant number, since it is smaller than the sum of its proper divisors (75180308).

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

46080580 is a wasteful number, since it uses less digits than its factorization.

46080580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 46080580 is about 6788.2678202911. The cubic root of 46080580 is about 358.5138838935.

The spelling of 46080580 in words is "forty-six million, eighty thousand, five hundred eighty".