490182506496 has 384 divisors, whose sum is σ = 1544195016000. Its totient is φ = 153108873216.

The previous prime is 490182506441. The next prime is 490182506497. The reversal of 490182506496 is 694605281094.

490182506496 is a `hidden beast` number, since 4 + 90 + 1 + 8 + 2 + 506 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (490182506497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241587210 + ... + 241589238.

Almost surely, 2^490182506496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490182506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772097508000).

490182506496 is an abundant number, since it is smaller than the sum of its proper divisors (1054012509504).

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

490182506496 is a wasteful number, since it uses less digits than its factorization.

490182506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 490182506496 in words is "four hundred ninety billion, one hundred eighty-two million, five hundred six thousand, four hundred ninety-six".