1491001200 has 180 divisors, whose sum is σ = 5572377720. Its totient is φ = 367004160.

The previous prime is 1491001189. The next prime is 1491001219. The reversal of 1491001200 is 21001941.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 30871 + ... + 62729.

It is an arithmetic number, because the mean of its divisors is an integer number (30957654).

Almost surely, 2^1491001200 is an apocalyptic number.

1491001200 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 1491001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786188860).

1491001200 is an abundant number, since it is smaller than the sum of its proper divisors (4081376520).

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

1491001200 is a wasteful number, since it uses less digits than its factorization.

1491001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31896 (or 31882 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1491001200 is about 38613.4846912319. The cubic root of 1491001200 is about 1142.4205263713.

The spelling of 1491001200 in words is "one billion, four hundred ninety-one million, one thousand, two hundred".