449864100 has 243 divisors, whose sum is σ = 1656691491. Its totient is φ = 101808000.

The previous prime is 449864069. The next prime is 449864101. The reversal of 449864100 is 1468944.

It is a happy number.

The square root of 449864100 is 21210.

It is a perfect power (a square), and thus also a powerful number.

449864100 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83064996 + 366799104 = 9114^2 + 19152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (449864101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4454050 + ... + 4454150.

Almost surely, 2^449864100 is an apocalyptic number.

449864100 is the 21210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449864100

449864100 is an abundant number, since it is smaller than the sum of its proper divisors (1206827391).

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

449864100 is a wasteful number, since it uses less digits than its factorization.

449864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 449864100 is about 766.2322828104.

Multiplying 449864100 by its sum of digits (36), we get a square (16195107600 = 127260²).

449864100 divided by its sum of digits (36) gives a square (12496225 = 3535²).

Multiplying 449864100 by its reverse (1468944), we get a square (660825170510400 = 25706520²).

The spelling of 449864100 in words is "four hundred forty-nine million, eight hundred sixty-four thousand, one hundred".