490988542464 has 1200 divisors, whose sum is σ = 1792243164096. Its totient is φ = 133307596800.

The previous prime is 490988542463. The next prime is 490988542529. The reversal of 490988542464 is 464245889094.

490988542464 is a `hidden beast` number, since 4 + 9 + 0 + 9 + 88 + 542 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490988542463) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5915524567 + ... + 5915524649.

Almost surely, 2^490988542464 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 490988542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896121582048).

490988542464 is an abundant number, since it is smaller than the sum of its proper divisors (1301254621632).

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

490988542464 is an equidigital number, since it uses as much as digits as its factorization.

490988542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 490988542464 in words is "four hundred ninety billion, nine hundred eighty-eight million, five hundred forty-two thousand, four hundred sixty-four".