45039200 has 36 divisors (see below), whose sum is σ = 109953900. Its totient is φ = 18015360.

The previous prime is 45039193. The next prime is 45039227. The reversal of 45039200 is 293054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27350 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (3054275).

Almost surely, 2^45039200 is an apocalyptic number.

45039200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45039200 is an abundant number, since it is smaller than the sum of its proper divisors (64914700).

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

45039200 is a wasteful number, since it uses less digits than its factorization.

45039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56319 (or 56306 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 45039200 is about 6711.1250919648. The cubic root of 45039200 is about 355.7925821162.

It can be divided in two parts, 450 and 39200, that multiplied together give a square (17640000 = 4200²).

The spelling of 45039200 in words is "forty-five million, thirty-nine thousand, two hundred".