490965995520 has 1664 divisors, whose sum is σ = 2346174996480. Its totient is φ = 94065131520.

The previous prime is 490965995483. The next prime is 490965995549. The reversal of 490965995520 is 25599569094.

490965995520 is a `hidden beast` number, since 49 + 0 + 9 + 65 + 9 + 9 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 553512517 + ... + 553513403.

Almost surely, 2^490965995520 is an apocalyptic number.

490965995520 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 490965995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173087498240).

490965995520 is an abundant number, since it is smaller than the sum of its proper divisors (1855209000960).

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

490965995520 is a wasteful number, since it uses less digits than its factorization.

490965995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 39366000, while the sum is 63.

The spelling of 490965995520 in words is "four hundred ninety billion, nine hundred sixty-five million, nine hundred ninety-five thousand, five hundred twenty".