1997790480 has 480 divisors, whose sum is σ = 8130979584. Its totient is φ = 446404608.

The previous prime is 1997790463. The next prime is 1997790497. The reversal of 1997790480 is 840977991.

1997790480 is a `hidden beast` number, since 1 + 9 + 9 + 77 + 90 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1997790463) and next prime (1997790497).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7212102 + ... + 7212378.

Almost surely, 2^1997790480 is an apocalyptic number.

1997790480 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 1997790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065489792).

1997790480 is an abundant number, since it is smaller than the sum of its proper divisors (6133189104).

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

1997790480 is a wasteful number, since it uses less digits than its factorization.

1997790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1997790480 is about 44696.6495388636. The cubic root of 1997790480 is about 1259.4569088050.

The spelling of 1997790480 in words is "one billion, nine hundred ninety-seven million, seven hundred ninety thousand, four hundred eighty".