45217600 has 84 divisors (see below), whose sum is σ = 113385600. Its totient is φ = 17743360.

The previous prime is 45217597. The next prime is 45217621. The reversal of 45217600 is 671254.

45217600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94161 + ... + 94639.

Almost surely, 2^45217600 is an apocalyptic number.

45217600 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 45217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

45217600 is an abundant number, since it is smaller than the sum of its proper divisors (68168000).

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

45217600 is a wasteful number, since it uses less digits than its factorization.

45217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 45217600 is about 6724.4033192544. The cubic root of 45217600 is about 356.2617273250.

Adding to 45217600 its reverse (671254), we get a palindrome (45888854).

It can be divided in two parts, 4521 and 7600, that added together give a palindrome (12121).

The spelling of 45217600 in words is "forty-five million, two hundred seventeen thousand, six hundred".