1449917056 has 192 divisors, whose sum is σ = 3697704000. Its totient is φ = 563092992.

The previous prime is 1449917047. The next prime is 1449917059. The reversal of 1449917056 is 6507199441.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 1449916997 and 1449917015.

It is not an unprimeable number, because it can be changed into a prime (1449917059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63039861 + ... + 63039883.

It is an arithmetic number, because the mean of its divisors is an integer number (19258875).

Almost surely, 2^1449917056 is an apocalyptic number.

1449917056 is a gapful number since it is divisible by the number (16) 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 1449917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848852000).

1449917056 is an abundant number, since it is smaller than the sum of its proper divisors (2247786944).

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

1449917056 is an frugal number, since it uses more digits than its factorization.

1449917056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 1449917056 is about 38077.7764056674. The cubic root of 1449917056 is about 1131.8296138812.

The spelling of 1449917056 in words is "one billion, four hundred forty-nine million, nine hundred seventeen thousand, fifty-six".