4485038400 has 252 divisors, whose sum is σ = 16214140800. Its totient is φ = 1175516160.

The previous prime is 4485038377. The next prime is 4485038419. The reversal of 4485038400 is 48305844.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 846961 + ... + 852239.

Almost surely, 2^4485038400 is an apocalyptic number.

4485038400 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 4485038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107070400).

4485038400 is an abundant number, since it is smaller than the sum of its proper divisors (11729102400).

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

4485038400 is a wasteful number, since it uses less digits than its factorization.

4485038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4485038400 is about 66970.4292953241. The cubic root of 4485038400 is about 1649.1318849362.

The spelling of 4485038400 in words is "four billion, four hundred eighty-five million, thirty-eight thousand, four hundred".