492786400 has 72 divisors (see below), whose sum is σ = 1207985184. Its totient is φ = 196300800.

The previous prime is 492786383. The next prime is 492786401. The reversal of 492786400 is 4687294.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492786401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215664 + ... + 217936.

It is an arithmetic number, because the mean of its divisors is an integer number (16777572).

Almost surely, 2^492786400 is an apocalyptic number.

492786400 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 492786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603992592).

492786400 is an abundant number, since it is smaller than the sum of its proper divisors (715198784).

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

492786400 is a wasteful number, since it uses less digits than its factorization.

492786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 492786400 is about 22198.7927599678. The cubic root of 492786400 is about 789.8650626765.

The spelling of 492786400 in words is "four hundred ninety-two million, seven hundred eighty-six thousand, four hundred".