46449585 has 128 divisors (see below), whose sum is σ = 107520000. Its totient is φ = 18475776.

The previous prime is 46449577. The next prime is 46449607. The reversal of 46449585 is 58594464.

46449585 is a `hidden beast` number, since 4 + 64 + 4 + 9 + 585 = 666.

It is not a de Polignac number, because 46449585 - 2³ = 46449577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46449585.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233316 + ... + 233514.

It is an arithmetic number, because the mean of its divisors is an integer number (840000).

Almost surely, 2^46449585 is an apocalyptic number.

46449585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46449585 is an abundant number, since it is smaller than the sum of its proper divisors (61070415).

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

46449585 is a wasteful number, since it uses less digits than its factorization.

46449585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 46449585 is about 6815.3932388381. The cubic root of 46449585 is about 359.4683123539.

The spelling of 46449585 in words is "forty-six million, four hundred forty-nine thousand, five hundred eighty-five".