1478920320 has 96 divisors (see below), whose sum is σ = 5106916620. Its totient is φ = 394377216.

The previous prime is 1478920319. The next prime is 1478920327. The reversal of 1478920320 is 230298741.

It can be written as a sum of positive squares in 2 ways, for example, as 1469035584 + 9884736 = 38328^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1478920327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122619 + ... + 134138.

Almost surely, 2^1478920320 is an apocalyptic number.

1478920320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1478920320 is an abundant number, since it is smaller than the sum of its proper divisors (3627996300).

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

1478920320 is a wasteful number, since it uses less digits than its factorization.

1478920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256782 (or 256767 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1478920320 is about 38456.7330905786. The cubic root of 1478920320 is about 1139.3266568452.

The spelling of 1478920320 in words is "one billion, four hundred seventy-eight million, nine hundred twenty thousand, three hundred twenty".