1990497600 has 1008 divisors, whose sum is σ = 9171635200. Its totient is φ = 406425600.

The previous prime is 1990497571. The next prime is 1990497637. The reversal of 1990497600 is 67940991.

1990497600 is a `hidden beast` number, since 19 + 90 + 497 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64209585 + ... + 64209615.

Almost surely, 2^1990497600 is an apocalyptic number.

1990497600 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 1990497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585817600).

1990497600 is an abundant number, since it is smaller than the sum of its proper divisors (7181137600).

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

1990497600 is a wasteful number, since it uses less digits than its factorization.

1990497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1990497600 is about 44614.9929956287. The cubic root of 1990497600 is about 1257.9225024147.

The spelling of 1990497600 in words is "one billion, nine hundred ninety million, four hundred ninety-seven thousand, six hundred".