492134400 has 336 divisors, whose sum is σ = 1828342800. Its totient is φ = 129761280.

The previous prime is 492134389. The next prime is 492134413. The reversal of 492134400 is 4431294.

492134400 is a `hidden beast` number, since 4 + 9 + 213 + 440 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529556 + ... + 5529644.

Almost surely, 2^492134400 is an apocalyptic number.

492134400 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 492134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914171400).

492134400 is an abundant number, since it is smaller than the sum of its proper divisors (1336208400).

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

492134400 is an equidigital number, since it uses as much as digits as its factorization.

492134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

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

The square root of 492134400 is about 22184.1024159194. The cubic root of 492134400 is about 789.5165551456.

Adding to 492134400 its reverse (4431294), we get a palindrome (496565694).

The spelling of 492134400 in words is "four hundred ninety-two million, one hundred thirty-four thousand, four hundred".