492263806320 has 360 divisors, whose sum is σ = 1956922644768. Its totient is φ = 110156682240.

The previous prime is 492263806303. The next prime is 492263806327. The reversal of 492263806320 is 23608362294.

It is a happy number.

492263806320 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 6 + 3 + 8 + 0 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×492263806320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492263806327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915237 + ... + 1349883.

Almost surely, 2^492263806320 is an apocalyptic number.

492263806320 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 492263806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978461322384).

492263806320 is an abundant number, since it is smaller than the sum of its proper divisors (1464658838448).

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

492263806320 is a wasteful number, since it uses less digits than its factorization.

492263806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434701 (or 434681 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 492263806320 in words is "four hundred ninety-two billion, two hundred sixty-three million, eight hundred six thousand, three hundred twenty".