495776820 has 192 divisors, whose sum is σ = 1741824000. Its totient is φ = 102359040.

The previous prime is 495776819. The next prime is 495776839. The reversal of 495776820 is 28677594.

It is a self number, because there is not a number n which added to its sum of digits gives 495776820.

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, 1103956 + ... + 1104404.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^495776820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495776820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

495776820 is an abundant number, since it is smaller than the sum of its proper divisors (1246047180).

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

495776820 is a wasteful number, since it uses less digits than its factorization.

495776820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 495776820 is about 22266.0463486448. The cubic root of 495776820 is about 791.4595780155.

The spelling of 495776820 in words is "four hundred ninety-five million, seven hundred seventy-six thousand, eight hundred twenty".