45021200 has 90 divisors (see below), whose sum is σ = 125877546. Its totient is φ = 15429120.

The previous prime is 45021199. The next prime is 45021209. The reversal of 45021200 is 212054.

It can be written as a sum of positive squares in 3 ways, for example, as 2458624 + 42562576 = 1568^2 + 6524^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (45021209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18452 + ... + 20748.

Almost surely, 2^45021200 is an apocalyptic number.

45021200 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 45021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62938773).

45021200 is an abundant number, since it is smaller than the sum of its proper divisors (80856346).

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

45021200 is a wasteful number, since it uses less digits than its factorization.

45021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45021200 is about 6709.7839011402. The cubic root of 45021200 is about 355.7451780783.

Adding to 45021200 its reverse (212054), we get a palindrome (45233254).

The spelling of 45021200 in words is "forty-five million, twenty-one thousand, two hundred".