449820540 has 360 divisors, whose sum is σ = 1607050368. Its totient is φ = 105131520.

The previous prime is 449820529. The next prime is 449820551. The reversal of 449820540 is 45028944.

449820540 is a `hidden beast` number, since 4 + 4 + 98 + 20 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (449820529) and next prime (449820551).

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

It is a junction number, because it is equal to n+sod(n) for n = 449820495 and 449820504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8487154 + ... + 8487206.

Almost surely, 2^449820540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449820540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803525184).

449820540 is an abundant number, since it is smaller than the sum of its proper divisors (1157229828).

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

449820540 is a wasteful number, since it uses less digits than its factorization.

449820540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 449820540 is about 21208.9731010250. The cubic root of 449820540 is about 766.2075507817.

The spelling of 449820540 in words is "four hundred forty-nine million, eight hundred twenty thousand, five hundred forty".