46485504 has 156 divisors (see below), whose sum is σ = 146094676. Its totient is φ = 14155776.

The previous prime is 46485493. The next prime is 46485529. The reversal of 46485504 is 40558464.

46485504 is a `hidden beast` number, since 4 + 648 + 5 + 5 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 33177600 = 3648^2 + 5760^2 .

It is a tau number, because it is divible by the number of its divisors (156).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479184 + ... + 479280.

Almost surely, 2^46485504 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 46485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73047338).

46485504 is an abundant number, since it is smaller than the sum of its proper divisors (99609172).

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

46485504 is a wasteful number, since it uses less digits than its factorization.

46485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 46485504 is about 6818.0278673528. The cubic root of 46485504 is about 359.5609462319.

The spelling of 46485504 in words is "forty-six million, four hundred eighty-five thousand, five hundred four".