492407100 has 360 divisors, whose sum is σ = 1724139648. Its totient is φ = 121305600.

The previous prime is 492407087. The next prime is 492407101. The reversal of 492407100 is 1704294.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492407101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9290674 + ... + 9290726.

Almost surely, 2^492407100 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 492407100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862069824).

492407100 is an abundant number, since it is smaller than the sum of its proper divisors (1231732548).

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

492407100 is a wasteful number, since it uses less digits than its factorization.

492407100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 492407100 is about 22190.2478580119. The cubic root of 492407100 is about 789.6623563803.

The spelling of 492407100 in words is "four hundred ninety-two million, four hundred seven thousand, one hundred".