1491982800 has 480 divisors, whose sum is σ = 6072658944. Its totient is φ = 304128000.

The previous prime is 1491982777. The next prime is 1491982823. The reversal of 1491982800 is 82891941.

It is an interprime number because it is at equal distance from previous prime (1491982777) and next prime (1491982823).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6190680 + ... + 6190920.

Almost surely, 2^1491982800 is an apocalyptic number.

1491982800 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 1491982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036329472).

1491982800 is an abundant number, since it is smaller than the sum of its proper divisors (4580676144).

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

1491982800 is a wasteful number, since it uses less digits than its factorization.

1491982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1491982800 is about 38626.1931854538. The cubic root of 1491982800 is about 1142.6711753955.

The spelling of 1491982800 in words is "one billion, four hundred ninety-one million, nine hundred eighty-two thousand, eight hundred".