1478820096 has 216 divisors, whose sum is σ = 4648239960. Its totient is φ = 449445888.

The previous prime is 1478820071. The next prime is 1478820127. The reversal of 1478820096 is 6900288741.

It can be written as a sum of positive squares in 4 ways, for example, as 165482496 + 1313337600 = 12864^2 + 36240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2905090 + ... + 2905598.

Almost surely, 2^1478820096 is an apocalyptic number.

1478820096 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 1478820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324119980).

1478820096 is an abundant number, since it is smaller than the sum of its proper divisors (3169419864).

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

1478820096 is a wasteful number, since it uses less digits than its factorization.

1478820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1478820096 is about 38455.4299936953. The cubic root of 1478820096 is about 1139.3009194986.

The spelling of 1478820096 in words is "one billion, four hundred seventy-eight million, eight hundred twenty thousand, ninety-six".