45445200 has 60 divisors (see below), whose sum is σ = 145579968. Its totient is φ = 12118400.

The previous prime is 45445189. The next prime is 45445219. The reversal of 45445200 is 254454.

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 a congruent number.

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, 17736 + ... + 20135.

Almost surely, 2^45445200 is an apocalyptic number.

45445200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45445200 is an abundant number, since it is smaller than the sum of its proper divisors (100134768).

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

45445200 is a wasteful number, since it uses less digits than its factorization.

45445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37892 (or 37881 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45445200 is about 6741.3055115460. The cubic root of 45445200 is about 356.8584676987.

Adding to 45445200 its reverse (254454), we get a palindrome (45699654).

It can be divided in two parts, 454 and 45200, that added together give a palindrome (45654).

The spelling of 45445200 in words is "forty-five million, four hundred forty-five thousand, two hundred".