492506400 has 72 divisors (see below), whose sum is σ = 1603116144. Its totient is φ = 131334400.

The previous prime is 492506389. The next prime is 492506419. The reversal of 492506400 is 4605294.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100206 + ... + 105005.

It is an arithmetic number, because the mean of its divisors is an integer number (22265502).

Almost surely, 2^492506400 is an apocalyptic number.

492506400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492506400 is an abundant number, since it is smaller than the sum of its proper divisors (1110609744).

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

492506400 is a wasteful number, since it uses less digits than its factorization.

492506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205234 (or 205221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 492506400 is about 22192.4852145946. The cubic root of 492506400 is about 789.7154345492.

The spelling of 492506400 in words is "four hundred ninety-two million, five hundred six thousand, four hundred".