45085200 has 60 divisors (see below), whose sum is σ = 144426768. Its totient is φ = 12022400.

The previous prime is 45085189. The next prime is 45085211. The reversal of 45085200 is 258054.

45085200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45085189) and next prime (45085211).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17586 + ... + 19985.

Almost surely, 2^45085200 is an apocalyptic number.

45085200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45085200 is an abundant number, since it is smaller than the sum of its proper divisors (99341568).

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

45085200 is a wasteful number, since it uses less digits than its factorization.

45085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37592 (or 37581 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 45085200 is about 6714.5513625260. The cubic root of 45085200 is about 355.9136684149.

The spelling of 45085200 in words is "forty-five million, eighty-five thousand, two hundred".