1970808480 has 72 divisors (see below), whose sum is σ = 6725388852. Its totient is φ = 525548544.

The previous prime is 1970808473. The next prime is 1970808481. The reversal of 1970808480 is 848080791.

1970808480 is a `hidden beast` number, since 1 + 97 + 0 + 80 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1787260176 + 183548304 = 42276^2 + 13548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1970808481) 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, 682869 + ... + 685748.

Almost surely, 2^1970808480 is an apocalyptic number.

1970808480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1970808480 is an abundant number, since it is smaller than the sum of its proper divisors (4754580372).

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

1970808480 is a wasteful number, since it uses less digits than its factorization.

1970808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368638 (or 1368627 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1970808480 is about 44393.7887547346. The cubic root of 1970808480 is about 1253.7611473989.

The spelling of 1970808480 in words is "one billion, nine hundred seventy million, eight hundred eight thousand, four hundred eighty".