492071400 has 144 divisors (see below), whose sum is σ = 1658917260. Its totient is φ = 130713600.

The previous prime is 492071389. The next prime is 492071423. The reversal of 492071400 is 4170294.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 161340804 + 330730596 = 12702^2 + 18186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 829504 + ... + 830096.

Almost surely, 2^492071400 is an apocalyptic number.

492071400 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 492071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829458630).

492071400 is an abundant number, since it is smaller than the sum of its proper divisors (1166845860).

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

492071400 is a wasteful number, since it uses less digits than its factorization.

492071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1064 counting only the distinct ones).

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

The square root of 492071400 is about 22182.6824347282. The cubic root of 492071400 is about 789.4828640336.

The spelling of 492071400 in words is "four hundred ninety-two million, seventy-one thousand, four hundred".