492810506100 has 972 divisors, whose sum is σ = 1864323511596. Its totient is φ = 108421632000.

The previous prime is 492810506093. The next prime is 492810506119. The reversal of 492810506100 is 1605018294.

492810506100 is a `hidden beast` number, since 4 + 9 + 28 + 10 + 5 + 0 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14571869796 + 478238636304 = 120714^2 + 691548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1779099162 + ... + 1779099438.

Almost surely, 2^492810506100 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 492810506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932161755798).

492810506100 is an abundant number, since it is smaller than the sum of its proper divisors (1371513005496).

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

492810506100 is a wasteful number, since it uses less digits than its factorization.

492810506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 492810506100 in words is "four hundred ninety-two billion, eight hundred ten million, five hundred six thousand, one hundred".