46045600 has 36 divisors (see below), whose sum is σ = 112410774. Its totient is φ = 18417920.

The previous prime is 46045567. The next prime is 46045603. The reversal of 46045600 is 654064.

It is a happy number.

46045600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 25361296 + 20684304 = 5036^2 + 4548^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (46045603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27979 + ... + 29578.

Almost surely, 2^46045600 is an apocalyptic number.

46045600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46045600 is an abundant number, since it is smaller than the sum of its proper divisors (66365174).

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

46045600 is a wasteful number, since it uses less digits than its factorization.

46045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57577 (or 57564 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 46045600 is about 6785.6908270271. The cubic root of 46045600 is about 358.4231443653.

Adding to 46045600 its reverse (654064), we get a palindrome (46699664).

The spelling of 46045600 in words is "forty-six million, forty-five thousand, six hundred".