449055006400 has 1008 divisors, whose sum is σ = 1520092707840. Its totient is φ = 127024128000.

The previous prime is 449055006383. The next prime is 449055006461. The reversal of 449055006400 is 4600550944.

It is a super-3 number, since 3×449055006400³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 449055006400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1250849421 + ... + 1250849779.

It is an arithmetic number, because the mean of its divisors is an integer number (1508028480).

Almost surely, 2^449055006400 is an apocalyptic number.

449055006400 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 449055006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760046353920).

449055006400 is an abundant number, since it is smaller than the sum of its proper divisors (1071037701440).

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

449055006400 is a wasteful number, since it uses less digits than its factorization.

449055006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 449055006400 in words is "four hundred forty-nine billion, fifty-five million, six thousand, four hundred".