490462801920 has 2184 divisors, whose sum is σ = 2292193816416. Its totient is φ = 98035826688.

The previous prime is 490462801891. The next prime is 490462801931. The reversal of 490462801920 is 29108264094.

490462801920 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 628 + 0 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25813831671 + ... + 25813831689.

Almost surely, 2^490462801920 is an apocalyptic number.

490462801920 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 490462801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146096908208).

490462801920 is an abundant number, since it is smaller than the sum of its proper divisors (1801731014496).

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

490462801920 is an equidigital number, since it uses as much as digits as its factorization.

490462801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 490462801920 in words is "four hundred ninety billion, four hundred sixty-two million, eight hundred one thousand, nine hundred twenty".