449657414400 has 216 divisors, whose sum is σ = 1490136003664. Its totient is φ = 119409868800.

The previous prime is 449657414399. The next prime is 449657414443. The reversal of 449657414400 is 4414756944.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 449657414400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4578612 + ... + 4675788.

Almost surely, 2^449657414400 is an apocalyptic number.

449657414400 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 449657414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745068001832).

449657414400 is an abundant number, since it is smaller than the sum of its proper divisors (1040478589264).

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

449657414400 is a wasteful number, since it uses less digits than its factorization.

449657414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97447 (or 97428 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 449657414400 in words is "four hundred forty-nine billion, six hundred fifty-seven million, four hundred fourteen thousand, four hundred".