490781491200 has 3240 divisors, whose sum is σ = 2529040943520. Its totient is φ = 89181388800.

The previous prime is 490781491133. The next prime is 490781491223. The reversal of 490781491200 is 2194187094.

It is a happy number.

490781491200 is a `hidden beast` number, since 4 + 90 + 78 + 1 + 491 + 2 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 25830604791 + ... + 25830604809.

Almost surely, 2^490781491200 is an apocalyptic number.

490781491200 is a gapful number since it is divisible by the number (40) 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 490781491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264520471760).

490781491200 is an abundant number, since it is smaller than the sum of its proper divisors (2038259452320).

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

490781491200 is a wasteful number, since it uses less digits than its factorization.

490781491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 490781491200 in words is "four hundred ninety billion, seven hundred eighty-one million, four hundred ninety-one thousand, two hundred".