449493483600 has 360 divisors, whose sum is σ = 1861068294720. Its totient is φ = 102741246720.

The previous prime is 449493483589. The next prime is 449493483629. The reversal of 449493483600 is 6384394944.

449493483600 is a `hidden beast` number, since 4 + 494 + 93 + 4 + 8 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104509 + ... + 953891.

It is an arithmetic number, because the mean of its divisors is an integer number (5169634152).

Almost surely, 2^449493483600 is an apocalyptic number.

449493483600 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 449493483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930534147360).

449493483600 is an abundant number, since it is smaller than the sum of its proper divisors (1411574811120).

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

449493483600 is a wasteful number, since it uses less digits than its factorization.

449493483600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849424 (or 849400 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 449493483600 in words is "four hundred forty-nine billion, four hundred ninety-three million, four hundred eighty-three thousand, six hundred".