495230400 has 504 divisors, whose sum is σ = 2137318560. Its totient is φ = 106536960.

The previous prime is 495230389. The next prime is 495230423. The reversal of 495230400 is 4032594.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 29131192 + ... + 29131208.

Almost surely, 2^495230400 is an apocalyptic number.

495230400 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 495230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068659280).

495230400 is an abundant number, since it is smaller than the sum of its proper divisors (1642088160).

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

495230400 is a wasteful number, since it uses less digits than its factorization.

495230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 495230400 is about 22253.7727138569. The cubic root of 495230400 is about 791.1687022932.

Adding to 495230400 its reverse (4032594), we get a palindrome (499262994).

The spelling of 495230400 in words is "four hundred ninety-five million, two hundred thirty thousand, four hundred".