46005480 has 96 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 12002688.

The previous prime is 46005473. The next prime is 46005499. The reversal of 46005480 is 8450064.

46005480 is a `hidden beast` number, since 4 + 600 + 54 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15561 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 2^46005480 is an apocalyptic number.

46005480 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 46005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

46005480 is an abundant number, since it is smaller than the sum of its proper divisors (106749720).

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

46005480 is a wasteful number, since it uses less digits than its factorization.

46005480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 46005480 is about 6782.7339620539. The cubic root of 46005480 is about 358.3190148716.

The spelling of 46005480 in words is "forty-six million, five thousand, four hundred eighty".