45245200 has 240 divisors, whose sum is σ = 147240576. Its totient is φ = 12902400.

The previous prime is 45245149. The next prime is 45245201. The reversal of 45245200 is 254254.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45245201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400344 + ... + 400456.

Almost surely, 2^45245200 is an apocalyptic number.

45245200 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 45245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73620288).

45245200 is an abundant number, since it is smaller than the sum of its proper divisors (101995376).

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

45245200 is a wasteful number, since it uses less digits than its factorization.

45245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 45245200 is about 6726.4552328846. The cubic root of 45245200 is about 356.3341978067.

Adding to 45245200 its reverse (254254), we get a palindrome (45499454).

It can be divided in two parts, 452 and 45200, that multiplied together give a square (20430400 = 4520²).

The spelling of 45245200 in words is "forty-five million, two hundred forty-five thousand, two hundred".