1609881480 has 80 divisors (see below), whose sum is σ = 5411001420. Its totient is φ = 429300864.

The previous prime is 1609881479. The next prime is 1609881541. The reversal of 1609881480 is 841889061.

1609881480 is a `hidden beast` number, since 1 + 6 + 0 + 98 + 81 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1535542596 + 74338884 = 39186^2 + 8622^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245199 + ... + 251678.

Almost surely, 2^1609881480 is an apocalyptic number.

1609881480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1609881480 is an abundant number, since it is smaller than the sum of its proper divisors (3801119940).

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

1609881480 is a wasteful number, since it uses less digits than its factorization.

1609881480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496900 (or 496887 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1609881480 is about 40123.3283763947. The cubic root of 1609881480 is about 1172.0099573212.

It can be divided in two parts, 1609881 and 480, that added together give a square (1610361 = 1269²).

The spelling of 1609881480 in words is "one billion, six hundred nine million, eight hundred eighty-one thousand, four hundred eighty".