4485650400 has 1440 divisors, whose sum is σ = 21778606080. Its totient is φ = 870912000.

The previous prime is 4485650399. The next prime is 4485650401. The reversal of 4485650400 is 40565844.

It is an interprime number because it is at equal distance from previous prime (4485650399) and next prime (4485650401).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4485650400² = 40242119022040320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485650401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 144698385 + ... + 144698415.

It is an arithmetic number, because the mean of its divisors is an integer number (15124032).

Almost surely, 2^4485650400 is an apocalyptic number.

4485650400 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 4485650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

4485650400 is an abundant number, since it is smaller than the sum of its proper divisors (17292955680).

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

4485650400 is a wasteful number, since it uses less digits than its factorization.

4485650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4485650400 is about 66974.9983202687. The cubic root of 4485650400 is about 1649.2068915635.

The spelling of 4485650400 in words is "four billion, four hundred eighty-five million, six hundred fifty thousand, four hundred".