1459644480 has 336 divisors, whose sum is σ = 6076736640. Its totient is φ = 313933824.

The previous prime is 1459644451. The next prime is 1459644481. The reversal of 1459644480 is 844469541.

1459644480 is a `hidden beast` number, since 1 + 45 + 96 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (1459644481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340591 + ... + 344849.

Almost surely, 2^1459644480 is an apocalyptic number.

1459644480 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 1459644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038368320).

1459644480 is an abundant number, since it is smaller than the sum of its proper divisors (4617092160).

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

1459644480 is a wasteful number, since it uses less digits than its factorization.

1459644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1459644480 is about 38205.2938740170. The cubic root of 1459644480 is about 1134.3551046758.

The spelling of 1459644480 in words is "one billion, four hundred fifty-nine million, six hundred forty-four thousand, four hundred eighty".