449982540 has 168 divisors, whose sum is σ = 1619563680. Its totient is φ = 102829824.

The previous prime is 449982521. The next prime is 449982553. The reversal of 449982540 is 45289944.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99856 + ... + 104264.

It is an arithmetic number, because the mean of its divisors is an integer number (9640260).

Almost surely, 2^449982540 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 449982540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809781840).

449982540 is an abundant number, since it is smaller than the sum of its proper divisors (1169581140).

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

449982540 is a wasteful number, since it uses less digits than its factorization.

449982540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 449982540 is about 21212.7918954578. The cubic root of 449982540 is about 766.2995213300.

The spelling of 449982540 in words is "four hundred forty-nine million, nine hundred eighty-two thousand, five hundred forty".