45225600 has 192 divisors, whose sum is σ = 170495040. Its totient is φ = 10321920.

The previous prime is 45225569. The next prime is 45225601. The reversal of 45225600 is 652254.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (45225601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66864 + ... + 67536.

It is an arithmetic number, because the mean of its divisors is an integer number (887995).

Almost surely, 2^45225600 is an apocalyptic number.

45225600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85247520).

45225600 is an abundant number, since it is smaller than the sum of its proper divisors (125269440).

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

45225600 is a wasteful number, since it uses less digits than its factorization.

45225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45225600 is about 6724.9981412637. The cubic root of 45225600 is about 356.2827362961.

Adding to 45225600 its reverse (652254), we get a palindrome (45877854).

The spelling of 45225600 in words is "forty-five million, two hundred twenty-five thousand, six hundred".