495778000 has 40 divisors (see below), whose sum is σ = 1198796040. Its totient is φ = 198310400.

The previous prime is 495777977. The next prime is 495778013. The reversal of 495778000 is 877594.

It can be written as a sum of positive squares in 4 ways, for example, as 45319824 + 450458176 = 6732^2 + 21224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121945 + ... + 125944.

It is an arithmetic number, because the mean of its divisors is an integer number (29969901).

Almost surely, 2^495778000 is an apocalyptic number.

495778000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495778000 is an abundant number, since it is smaller than the sum of its proper divisors (703018040).

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

495778000 is a wasteful number, since it uses less digits than its factorization.

495778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247912 (or 247896 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 495778000 is about 22266.0728463732. The cubic root of 495778000 is about 791.4602059335.

The spelling of 495778000 in words is "four hundred ninety-five million, seven hundred seventy-eight thousand".