1484904960 has 960 divisors, whose sum is σ = 6863560704. Its totient is φ = 298598400.

The previous prime is 1484904947. The next prime is 1484904997. The reversal of 1484904960 is 694094841.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900145 + ... + 47900175.

Almost surely, 2^1484904960 is an apocalyptic number.

1484904960 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 1484904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

1484904960 is an abundant number, since it is smaller than the sum of its proper divisors (5378655744).

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

1484904960 is an equidigital number, since it uses as much as digits as its factorization.

1484904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1484904960 is about 38534.4645739369. The cubic root of 1484904960 is about 1140.8613988134.

The spelling of 1484904960 in words is "one billion, four hundred eighty-four million, nine hundred four thousand, nine hundred sixty".