1449679680 has 336 divisors, whose sum is σ = 5250021504. Its totient is φ = 380712960.

The previous prime is 1449679663. The next prime is 1449679697. The reversal of 1449679680 is 869769441.

1449679680 is a `hidden beast` number, since 1 + 4 + 496 + 79 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1449679663) and next prime (1449679697).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8009190 + ... + 8009370.

It is an arithmetic number, because the mean of its divisors is an integer number (15625064).

Almost surely, 2^1449679680 is an apocalyptic number.

1449679680 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 1449679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625010752).

1449679680 is an abundant number, since it is smaller than the sum of its proper divisors (3800341824).

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

1449679680 is a wasteful number, since it uses less digits than its factorization.

1449679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1449679680 is about 38074.6592893489. The cubic root of 1449679680 is about 1131.7678439455.

The spelling of 1449679680 in words is "one billion, four hundred forty-nine million, six hundred seventy-nine thousand, six hundred eighty".