45235200 has 264 divisors, whose sum is σ = 162449920. Its totient is φ = 11059200.

The previous prime is 45235199. The next prime is 45235237. The reversal of 45235200 is 253254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459185 + ... + 1459215.

Almost surely, 2^45235200 is an apocalyptic number.

45235200 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 45235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81224960).

45235200 is an abundant number, since it is smaller than the sum of its proper divisors (117214720).

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

45235200 is a wasteful number, since it uses less digits than its factorization.

45235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45235200 is about 6725.7118582348. The cubic root of 45235200 is about 356.3079437913.

Adding to 45235200 its reverse (253254), we get a palindrome (45488454).

The spelling of 45235200 in words is "forty-five million, two hundred thirty-five thousand, two hundred".