490343736960 has 1152 divisors, whose sum is σ = 2199291082560. Its totient is φ = 99492986880.

The previous prime is 490343736941. The next prime is 490343736979. The reversal of 490343736960 is 69637343094.

490343736960 is a `hidden beast` number, since 4 + 90 + 3 + 437 + 3 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (490343736941) and next prime (490343736979).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 490343736897 and 490343736906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133497684 + ... + 133501356.

Almost surely, 2^490343736960 is an apocalyptic number.

490343736960 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 490343736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099645541280).

490343736960 is an abundant number, since it is smaller than the sum of its proper divisors (1708947345600).

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

490343736960 is a wasteful number, since it uses less digits than its factorization.

490343736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 490343736960 in words is "four hundred ninety billion, three hundred forty-three million, seven hundred thirty-six thousand, nine hundred sixty".