45354200 has 48 divisors (see below), whose sum is σ = 108039960. Its totient is φ = 17696000.

The previous prime is 45354191. The next prime is 45354203. The reversal of 45354200 is 245354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45354203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5435 + ... + 10965.

Almost surely, 2^45354200 is an apocalyptic number.

45354200 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 45354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54019980).

45354200 is an abundant number, since it is smaller than the sum of its proper divisors (62685760).

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

45354200 is a wasteful number, since it uses less digits than its factorization.

45354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 45354200 is about 6734.5526948714. The cubic root of 45354200 is about 356.6201160120.

Adding to 45354200 its reverse (245354), we get a palindrome (45599554).

It can be divided in two parts, 45354 and 200, that added together give a palindrome (45554).

The spelling of 45354200 in words is "forty-five million, three hundred fifty-four thousand, two hundred".