46045200 has 60 divisors (see below), whose sum is σ = 147501968. Its totient is φ = 12278400.

The previous prime is 46045183. The next prime is 46045211. The reversal of 46045200 is 254064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17986 + ... + 20385.

Almost surely, 2^46045200 is an apocalyptic number.

46045200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46045200 is an abundant number, since it is smaller than the sum of its proper divisors (101456768).

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

46045200 is a wasteful number, since it uses less digits than its factorization.

46045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38392 (or 38381 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 46045200 is about 6785.6613531770. The cubic root of 46045200 is about 358.4221064835.

Adding to 46045200 its reverse (254064), we get a palindrome (46299264).

The spelling of 46045200 in words is "forty-six million, forty-five thousand, two hundred".