45315200 has 216 divisors, whose sum is σ = 138329595. Its totient is φ = 14622720.

The previous prime is 45315181. The next prime is 45315223. The reversal of 45315200 is 251354.

45315200 = T₂₈₁ + T₂₈₂ + ... + T₆₆₄.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 29506624 + 15808576 = 5432^2 + 3976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4760.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 26 ways as a sum of consecutive naturals, for example, 2665592 + ... + 2665608.

Almost surely, 2^45315200 is an apocalyptic number.

45315200 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 45315200

45315200 is an abundant number, since it is smaller than the sum of its proper divisors (93014395).

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

45315200 is a wasteful number, since it uses less digits than its factorization.

45315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45315200 is about 6731.6565568959. The cubic root of 45315200 is about 356.5178676868.

Adding to 45315200 its reverse (251354), we get a palindrome (45566554).

The spelling of 45315200 in words is "forty-five million, three hundred fifteen thousand, two hundred".