45396200 has 48 divisors (see below), whose sum is σ = 107305260. Its totient is φ = 17860800.

The previous prime is 45396191. The next prime is 45396203. The reversal of 45396200 is 269354.

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 6 ways, for example, as 16859236 + 28536964 = 4106^2 + 5342^2 .

It is not an unprimeable number, because it can be changed into a prime (45396203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 744170 + ... + 744230.

Almost surely, 2^45396200 is an apocalyptic number.

45396200 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 45396200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53652630).

45396200 is an abundant number, since it is smaller than the sum of its proper divisors (61909060).

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

45396200 is an frugal number, since it uses more digits than its factorization.

45396200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 45396200 is about 6737.6702204842. The cubic root of 45396200 is about 356.7301640620.

The spelling of 45396200 in words is "forty-five million, three hundred ninety-six thousand, two hundred".