46086480 has 270 divisors, whose sum is σ = 177841482. Its totient is φ = 10686720.

The previous prime is 46086451. The next prime is 46086487. The reversal of 46086480 is 8468064.

46086480 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 648 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36869184 + 9217296 = 6072^2 + 3036^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46086487) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2003749 + ... + 2003771.

Almost surely, 2^46086480 is an apocalyptic number.

46086480 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 46086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88920741).

46086480 is an abundant number, since it is smaller than the sum of its proper divisors (131755002).

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

46086480 is a wasteful number, since it uses less digits than its factorization.

46086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46086480 is about 6788.7023796894. The cubic root of 46086480 is about 358.5291842047.

The spelling of 46086480 in words is "forty-six million, eighty-six thousand, four hundred eighty".