4485746400 has 288 divisors, whose sum is σ = 15074035200. Its totient is φ = 1158144000.

The previous prime is 4485746383. The next prime is 4485746401. The reversal of 4485746400 is 46475844.

It is a super-2 number, since 2×4485746400² = 40243841530225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485746401) 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, 11186200 + ... + 11186600.

It is an arithmetic number, because the mean of its divisors is an integer number (52340400).

Almost surely, 2^4485746400 is an apocalyptic number.

4485746400 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 4485746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537017600).

4485746400 is an abundant number, since it is smaller than the sum of its proper divisors (10588288800).

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

4485746400 is a wasteful number, since it uses less digits than its factorization.

4485746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 4485746400 is about 66975.7150017825. The cubic root of 4485746400 is about 1649.2186566899.

The spelling of 4485746400 in words is "four billion, four hundred eighty-five million, seven hundred forty-six thousand, four hundred".