449434080 has 72 divisors (see below), whose sum is σ = 1533698712. Its totient is φ = 119848704.

The previous prime is 449434067. The next prime is 449434091. The reversal of 449434080 is 80434944.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154614 + ... + 157493.

It is an arithmetic number, because the mean of its divisors is an integer number (21301371).

Almost surely, 2^449434080 is an apocalyptic number.

449434080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449434080 is an abundant number, since it is smaller than the sum of its proper divisors (1084264632).

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

449434080 is a wasteful number, since it uses less digits than its factorization.

449434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312128 (or 312117 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 449434080 is about 21199.8603768987. The cubic root of 449434080 is about 765.9880607228.

The spelling of 449434080 in words is "four hundred forty-nine million, four hundred thirty-four thousand, eighty".