1478520864 has 144 divisors (see below), whose sum is σ = 4403494368. Its totient is φ = 487959552.

The previous prime is 1478520859. The next prime is 1478520871. The reversal of 1478520864 is 4680258741.

1478520864 is a `hidden beast` number, since 1 + 47 + 8 + 520 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 831144 + ... + 832920.

It is an arithmetic number, because the mean of its divisors is an integer number (30579822).

Almost surely, 2^1478520864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1478520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201747184).

1478520864 is an abundant number, since it is smaller than the sum of its proper divisors (2924973504).

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

1478520864 is a wasteful number, since it uses less digits than its factorization.

1478520864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1478520864 is about 38451.5391629516. The cubic root of 1478520864 is about 1139.2240703290.

The spelling of 1478520864 in words is "one billion, four hundred seventy-eight million, five hundred twenty thousand, eight hundred sixty-four".