1479528960 has 640 divisors, whose sum is σ = 6104609280. Its totient is φ = 297271296.

The previous prime is 1479528937. The next prime is 1479528979. The reversal of 1479528960 is 698259741.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20267484 + ... + 20267556.

It is an arithmetic number, because the mean of its divisors is an integer number (9538452).

Almost surely, 2^1479528960 is an apocalyptic number.

1479528960 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 1479528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052304640).

1479528960 is an abundant number, since it is smaller than the sum of its proper divisors (4625080320).

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

1479528960 is a wasteful number, since it uses less digits than its factorization.

1479528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 1479528960 is about 38464.6455852644. The cubic root of 1479528960 is about 1139.4829295580.

The spelling of 1479528960 in words is "one billion, four hundred seventy-nine million, five hundred twenty-eight thousand, nine hundred sixty".