4493418400 has 72 divisors (see below), whose sum is σ = 10982695500. Its totient is φ = 1795215360.

The previous prime is 4493418373. The next prime is 4493418401. The reversal of 4493418400 is 48143944.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1351591696 + 3141826704 = 36764^2 + 56052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4493418400.

It is not an unprimeable number, because it can be changed into a prime (4493418401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778726 + ... + 784474.

Almost surely, 2^4493418400 is an apocalyptic number.

4493418400 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 4493418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491347750).

4493418400 is an abundant number, since it is smaller than the sum of its proper divisors (6489277100).

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

4493418400 is a wasteful number, since it uses less digits than its factorization.

4493418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4493418400 is about 67032.9650246802. The cubic root of 4493418400 is about 1650.1583441549.

The spelling of 4493418400 in words is "four billion, four hundred ninety-three million, four hundred eighteen thousand, four hundred".