449789760 has 560 divisors, whose sum is σ = 1905999744. Its totient is φ = 98537472.

The previous prime is 449789759. The next prime is 449789807. The reversal of 449789760 is 67987944.

It is a happy number.

449789760 is a `hidden beast` number, since 4 + 497 + 8 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 449789697 and 449789706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713247 + ... + 6713313.

Almost surely, 2^449789760 is an apocalyptic number.

449789760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952999872).

449789760 is an abundant number, since it is smaller than the sum of its proper divisors (1456209984).

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

449789760 is a wasteful number, since it uses less digits than its factorization.

449789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 449789760 is about 21208.2474523474. The cubic root of 449789760 is about 766.1900738813.

The spelling of 449789760 in words is "four hundred forty-nine million, seven hundred eighty-nine thousand, seven hundred sixty".