495903600 has 480 divisors, whose sum is σ = 1945679040. Its totient is φ = 119439360.

The previous prime is 495903581. The next prime is 495903601. The reversal of 495903600 is 6309594.

495903600 is a `hidden beast` number, since 4 + 9 + 590 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495903601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6793164 + ... + 6793236.

It is an arithmetic number, because the mean of its divisors is an integer number (4053498).

Almost surely, 2^495903600 is an apocalyptic number.

495903600 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 495903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972839520).

495903600 is an abundant number, since it is smaller than the sum of its proper divisors (1449775440).

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

495903600 is a wasteful number, since it uses less digits than its factorization.

495903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 495903600 is about 22268.8931022626. The cubic root of 495903600 is about 791.5270362544.

The spelling of 495903600 in words is "four hundred ninety-five million, nine hundred three thousand, six hundred".