1997480960 has 176 divisors, whose sum is σ = 5181137136. Its totient is φ = 736100352.

The previous prime is 1997480959. The next prime is 1997480981. The reversal of 1997480960 is 690847991.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1893376 + 1995587584 = 1376^2 + 44672^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612904 + ... + 4613336.

Almost surely, 2^1997480960 is an apocalyptic number.

1997480960 is a gapful number since it is divisible by the number (10) 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 1997480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590568568).

1997480960 is an abundant number, since it is smaller than the sum of its proper divisors (3183656176).

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

1997480960 is a wasteful number, since it uses less digits than its factorization.

1997480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 1997480960 is about 44693.1869528231. The cubic root of 1997480960 is about 1259.3918624050.

The spelling of 1997480960 in words is "one billion, nine hundred ninety-seven million, four hundred eighty thousand, nine hundred sixty".