4105454600 has 96 divisors (see below), whose sum is σ = 10634085000. Its totient is φ = 1463562240.

The previous prime is 4105454579. The next prime is 4105454603. The reversal of 4105454600 is 64545014.

It can be written as a sum of positive squares in 12 ways, for example, as 490799716 + 3614654884 = 22154^2 + 60122^2 .

It is a super-2 number, since 2×4105454600² = 33709514945322320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (4105454603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48176 + ... + 102624.

Almost surely, 2^4105454600 is an apocalyptic number.

4105454600 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 4105454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317042500).

4105454600 is an abundant number, since it is smaller than the sum of its proper divisors (6528630400).

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

4105454600 is a wasteful number, since it uses less digits than its factorization.

4105454600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54507 (or 54498 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 4105454600 is about 64073.8214874062. The cubic root of 4105454600 is about 1601.2301217163.

Adding to 4105454600 its reverse (64545014), we get a palindrome (4169999614).

The spelling of 4105454600 in words is "four billion, one hundred five million, four hundred fifty-four thousand, six hundred".