495677600 has 288 divisors, whose sum is σ = 1439907840. Its totient is φ = 164736000.

The previous prime is 495677593. The next prime is 495677603. The reversal of 495677600 is 6776594.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (495677603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6274361 + ... + 6274439.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^495677600 is an apocalyptic number.

495677600 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 495677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

495677600 is an abundant number, since it is smaller than the sum of its proper divisors (944230240).

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

495677600 is a wasteful number, since it uses less digits than its factorization.

495677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 495677600 is about 22263.8181810758. The cubic root of 495677600 is about 791.4067761260.

The spelling of 495677600 in words is "four hundred ninety-five million, six hundred seventy-seven thousand, six hundred".