45245600 has 72 divisors (see below), whose sum is σ = 115305120. Its totient is φ = 17304320.

The previous prime is 45245579. The next prime is 45245609. The reversal of 45245600 is 654254.

It is a self number, because there is not a number n which added to its sum of digits gives 45245600.

It is not an unprimeable number, because it can be changed into a prime (45245609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17171 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^45245600 is an apocalyptic number.

45245600 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 45245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57652560).

45245600 is an abundant number, since it is smaller than the sum of its proper divisors (70059520).

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

45245600 is a wasteful number, since it uses less digits than its factorization.

45245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2489 counting only the distinct ones).

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

The square root of 45245600 is about 6726.4849661617. The cubic root of 45245600 is about 356.3352478869.

Adding to 45245600 its reverse (654254), we get a palindrome (45899854).

The spelling of 45245600 in words is "forty-five million, two hundred forty-five thousand, six hundred".