449877504 has 80 divisors (see below), whose sum is σ = 1206141552. Its totient is φ = 149004288.

The previous prime is 449877503. The next prime is 449877523. The reversal of 449877504 is 405778944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449877503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264882 + ... + 266574.

Almost surely, 2^449877504 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 449877504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603070776).

449877504 is an abundant number, since it is smaller than the sum of its proper divisors (756264048).

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

449877504 is a wasteful number, since it uses less digits than its factorization.

449877504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 449877504 is about 21210.3159806732. The cubic root of 449877504 is about 766.2398928683.

The spelling of 449877504 in words is "four hundred forty-nine million, eight hundred seventy-seven thousand, five hundred four".