490233949451400 has 6912 divisors, whose sum is σ = 2245565074636800. Its totient is φ = 87625359360000.

The previous prime is 490233949451261. The next prime is 490233949451473. The reversal of 490233949451400 is 4154949332094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 3860109838137 + ... + 3860109838263.

It is an arithmetic number, because the mean of its divisors is an integer number (324879206400).

Almost surely, 2^{490233949451400} is an apocalyptic number.

490233949451400 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 490233949451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122782537318400).

490233949451400 is an abundant number, since it is smaller than the sum of its proper divisors (1755331125185400).

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

490233949451400 is a wasteful number, since it uses less digits than its factorization.

490233949451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 490233949451400 in words is "four hundred ninety trillion, two hundred thirty-three billion, nine hundred forty-nine million, four hundred fifty-one thousand, four hundred".