492424992900 has 567 divisors, whose sum is σ = 1689748361119. Its totient is φ = 124492515840.

The previous prime is 492424992889. The next prime is 492424992919. The reversal of 492424992900 is 9299424294.

The square root of 492424992900 is 701730.

It is a perfect power (a square), and thus also a powerful number.

492424992900 is a `hidden beast` number, since 4 + 92 + 42 + 499 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250526276676 + 241898716224 = 500526^2 + 491832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4357743244 + ... + 4357743356.

Almost surely, 2^492424992900 is an apocalyptic number.

492424992900 is the 701730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492424992900

492424992900 is an abundant number, since it is smaller than the sum of its proper divisors (1197323368219).

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

492424992900 is a wasteful number, since it uses less digits than its factorization.

492424992900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 492424992900 in words is "four hundred ninety-two billion, four hundred twenty-four million, nine hundred ninety-two thousand, nine hundred".