45654200 has 96 divisors (see below), whose sum is σ = 111488400. Its totient is φ = 17372160.

The previous prime is 45654199. The next prime is 45654209. The reversal of 45654200 is 245654.

It is a self number, because there is not a number n which added to its sum of digits gives 45654200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45654209) 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 23 ways as a sum of consecutive naturals, for example, 625364 + ... + 625436.

Almost surely, 2^45654200 is an apocalyptic number.

45654200 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 45654200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55744200).

45654200 is an abundant number, since it is smaller than the sum of its proper divisors (65834200).

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

45654200 is a wasteful number, since it uses less digits than its factorization.

45654200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 45654200 is about 6756.7891783006. The cubic root of 45654200 is about 357.4046887588.

Adding to 45654200 its reverse (245654), we get a palindrome (45899854).

It can be divided in two parts, 45654 and 200, that added together give a palindrome (45854).

The spelling of 45654200 in words is "forty-five million, six hundred fifty-four thousand, two hundred".