45454200 has 192 divisors, whose sum is σ = 157489920. Its totient is φ = 10752000.

The previous prime is 45454183. The next prime is 45454237. The reversal of 45454200 is 245454.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468552 + ... + 468648.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^45454200 is an apocalyptic number.

45454200 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 45454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

45454200 is an abundant number, since it is smaller than the sum of its proper divisors (112035720).

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

45454200 is a wasteful number, since it uses less digits than its factorization.

45454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45454200 is about 6741.9730049890. The cubic root of 45454200 is about 356.8820236461.

Adding to 45454200 its reverse (245454), we get a palindrome (45699654).

It can be divided in two parts, 45454 and 200, that added together give a palindrome (45654).

The spelling of 45454200 in words is "forty-five million, four hundred fifty-four thousand, two hundred".