1449977760 has 480 divisors, whose sum is σ = 6384292992. Its totient is φ = 301086720.

The previous prime is 1449977741. The next prime is 1449977773. The reversal of 1449977760 is 677799441.

1449977760 is a `hidden beast` number, since 14 + 499 + 77 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1449977697 and 1449977706.

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, 997194 + ... + 998646.

Almost surely, 2^1449977760 is an apocalyptic number.

1449977760 is a gapful number since it is divisible by the number (10) 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 1449977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192146496).

1449977760 is an abundant number, since it is smaller than the sum of its proper divisors (4934315232).

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

1449977760 is a wasteful number, since it uses less digits than its factorization.

1449977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1449977760 is about 38078.5735026931. The cubic root of 1449977760 is about 1131.8454091815.

The spelling of 1449977760 in words is "one billion, four hundred forty-nine million, nine hundred seventy-seven thousand, seven hundred sixty".