495612000 has 384 divisors, whose sum is σ = 1948302720. Its totient is φ = 121651200.

The previous prime is 495611989. The next prime is 495612113. The reversal of 495612000 is 216594.

495612000 is a `hidden beast` number, since 49 + 5 + 612 + 0 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1403824 + ... + 1404176.

It is an arithmetic number, because the mean of its divisors is an integer number (5073705).

Almost surely, 2^495612000 is an apocalyptic number.

495612000 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 495612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974151360).

495612000 is an abundant number, since it is smaller than the sum of its proper divisors (1452690720).

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

495612000 is a wasteful number, since it uses less digits than its factorization.

495612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 495612000 is about 22262.3448899706. The cubic root of 495612000 is about 791.3718619164.

Adding to 495612000 its reverse (216594), we get a palindrome (495828594).

The spelling of 495612000 in words is "four hundred ninety-five million, six hundred twelve thousand".