45216600 has 384 divisors, whose sum is σ = 179988480. Its totient is φ = 9216000.

The previous prime is 45216593. The next prime is 45216623. The reversal of 45216600 is 661254.

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 95 ways as a sum of consecutive naturals, for example, 1458585 + ... + 1458615.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^45216600 is an apocalyptic number.

45216600 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 45216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

45216600 is an abundant number, since it is smaller than the sum of its proper divisors (134771880).

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

45216600 is a wasteful number, since it uses less digits than its factorization.

45216600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45216600 is about 6724.3289628036. The cubic root of 45216600 is about 356.2591010294.

Adding to 45216600 its reverse (661254), we get a palindrome (45877854).

The spelling of 45216600 in words is "forty-five million, two hundred sixteen thousand, six hundred".