1484976960 has 168 divisors, whose sum is σ = 5122788840. Its totient is φ = 394825728.

The previous prime is 1484976947. The next prime is 1484976971. The reversal of 1484976960 is 696794841.

1484976960 is a `hidden beast` number, since 1 + 484 + 9 + 76 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 1463521536 = 4632^2 + 38256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1484976897 and 1484976906.

It is a congruent number.

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, 1465414 + ... + 1466426.

Almost surely, 2^1484976960 is an apocalyptic number.

1484976960 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 1484976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561394420).

1484976960 is an abundant number, since it is smaller than the sum of its proper divisors (3637811880).

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

1484976960 is a wasteful number, since it uses less digits than its factorization.

1484976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1532 counting only the distinct ones).

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

The square root of 1484976960 is about 38535.3987912413. The cubic root of 1484976960 is about 1140.8798378595.

It can be divided in two parts, 14849 and 76960, that added together give a square (91809 = 303²).

The spelling of 1484976960 in words is "one billion, four hundred eighty-four million, nine hundred seventy-six thousand, nine hundred sixty".