492881664 has 144 divisors (see below), whose sum is σ = 1466970624. Its totient is φ = 145612800.

The previous prime is 492881659. The next prime is 492881689. The reversal of 492881664 is 466188294.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345657 + ... + 347079.

It is an arithmetic number, because the mean of its divisors is an integer number (10187296).

Almost surely, 2^492881664 is an apocalyptic number.

492881664 is a gapful number since it is divisible by the number (44) 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 492881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733485312).

492881664 is an abundant number, since it is smaller than the sum of its proper divisors (974088960).

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

492881664 is a wasteful number, since it uses less digits than its factorization.

492881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 492881664 is about 22200.9383585469. The cubic root of 492881664 is about 789.9159575180.

The spelling of 492881664 in words is "four hundred ninety-two million, eight hundred eighty-one thousand, six hundred sixty-four".