1478975616 has 192 divisors, whose sum is σ = 4409135640. Its totient is φ = 475545600.

The previous prime is 1478975609. The next prime is 1478975627. The reversal of 1478975616 is 6165798741.

1478975616 is a `hidden beast` number, since 1 + 4 + 78 + 9 + 7 + 561 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 755150400 + 723825216 = 27480^2 + 26904^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 8171046 + ... + 8171226.

Almost surely, 2^1478975616 is an apocalyptic number.

1478975616 is a gapful number since it is divisible by the number (16) 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 1478975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204567820).

1478975616 is an abundant number, since it is smaller than the sum of its proper divisors (2930160024).

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

1478975616 is a wasteful number, since it uses less digits than its factorization.

1478975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1478975616 is about 38457.4520216824. The cubic root of 1478975616 is about 1139.3408562628.

The spelling of 1478975616 in words is "one billion, four hundred seventy-eight million, nine hundred seventy-five thousand, six hundred sixteen".