492062400 has 126 divisors (see below), whose sum is σ = 1748957132. Its totient is φ = 131212800.

The previous prime is 492062387. The next prime is 492062407. The reversal of 492062400 is 4260294.

It is not an unprimeable number, because it can be changed into a prime (492062407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2686 + ... + 31485.

Almost surely, 2^492062400 is an apocalyptic number.

492062400 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 492062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874478566).

492062400 is an abundant number, since it is smaller than the sum of its proper divisors (1256894732).

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

492062400 is a wasteful number, since it uses less digits than its factorization.

492062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34199 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 492062400 is about 22182.4795728521. The cubic root of 492062400 is about 789.4780507829.

The spelling of 492062400 in words is "four hundred ninety-two million, sixty-two thousand, four hundred".