490736473920 has 1344 divisors, whose sum is σ = 2213591224320. Its totient is φ = 101199974400.

The previous prime is 490736473907. The next prime is 490736473921. The reversal of 490736473920 is 29374637094.

490736473920 is a `hidden beast` number, since 490 + 7 + 3 + 64 + 7 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490736473921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777712005 + ... + 777712635.

It is an arithmetic number, because the mean of its divisors is an integer number (1647017280).

Almost surely, 2^490736473920 is an apocalyptic number.

490736473920 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 490736473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106795612160).

490736473920 is an abundant number, since it is smaller than the sum of its proper divisors (1722854750400).

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

490736473920 is a wasteful number, since it uses less digits than its factorization.

490736473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 490736473920 in words is "four hundred ninety billion, seven hundred thirty-six million, four hundred seventy-three thousand, nine hundred twenty".